## When Collecting Water Data From Different

Multiple Choice. Choose the one best answer, placing that answer to the left of the quequestion as needed. Hypothesis testing templates are provided on the next worksheet.1. When collecting water data from different sample locations in a lake, a reto it across the lake and collects samples at every interval of 5 meters. InA.B.C.D.Random SamplingConvenience SamplingCluster samplingSystematic sampling2. Researchers from the National Institutes of Health want to determine theeach gender in Hays. Identify the types of study for this description.A. Observational and ProspectiveB. Observational and Cross-sectionalC. Experimental and RetrospectiveD. Experimental and Cross-sectionalProblems 3 and 4 refer to the following data: These data show the daily gross amounts (in millions of dollars) earned in40222729202414113. Find the mean and median to the nearest tenth for this sample data.A.CMean = 22.0, Median = 12.5. Mean = 22.0, Median = 11.04. Which of the following gives the sample standard deviation and the rangeA. SD = 10.7, Range = 18B. SD = 10.7, Range = 36C. SD = 12.5, Range = 18D. SD = 12.5, Range = 365. The following frequency distribution summarized ACT Math scores of 50midpoints for the ACT scores.A. Mean = 19.58B. Mean = 18.62C. Mean = 18.00D. Mean = 21.576. Which one of the following describes a quantitative, discrete variable?A. Letter grade of students in a class (A, B, C, D, and U).B. Mean IQ Score of students in a class.C. Height of student in a class.D. Number of students in a class.Problems 7 and 8 refer to the following histogram, which represents the ages of people randomlymorning (Parent-teacher meeting): 7. What percent of people with ages less than 50 entered the school?A.45.8%B.8. Within which age group would the first quartile (Q1) fall?A. 10?19B.Problems 9 and 10 refer to the following box-and-whisker plots to compare homework time per nHomework time (in minutes)02048 60TV time (in minutes)190TV time (in minutes)0 15601102259. Which distribution shape most likely describes the boxplot homework timA.B.C.D.Skewed rightSkewed leftUniformNormal10. Which of the following statements is false concerning the box-and-whiskA.B.C.D.TV time has a larger interquartile range (IQR) than HomTV time has a larger median than Homework timeTV time has a larger maximum than Homework timeTV time has a larger Q1 than Homework time11. Out of fifty randomly chosen adults age 65 or older, at least 15 had a FacA.B.C.D.Fifteen or fewer had a Facebook account.Fewer than fifteen had a Facebook account.No more than fifteen had a Facebook account.Fifteen or more had a Facebook account.12. If P(A) = 0.08, which one of the following statements is true?A.B.C.D.The probability of the complement of event A is 0.32.The probability of event A happening twice in a row (withEvent A is an “unusual” eventFor each 8 times event A happens, there are 100 times in wProblems 13 and 14 refer to the following table: The following table is the probability distribution for the number in a group of five randomly selectethe National Institutes of Health. In the table, x = the number of males who have a form of color blinxP(x)00.65810.28713. Determine the probability that at least one of the males has a form of coloA.B.C.D.0.6580.3420.9450.05514. Determine the expected number (mean) of males who have a form of coloA.B.C.D.0.050.20.4315. A bag contains 6 red marbles, 4 blue marbles, and 3 green marbles. If yomarbles?A.0.1775B.16. A widely accepted fact is that 80% of all people have brown eyes. What iA.1.6B.17. According to one study, 19% of all third graders have their own cell phonhave a cell phone? (NOTE: this problem meets all the requirements of aA.0.23B.Problems 18 through 24 refer to the following: Daily temperatures in Honolulu are normally distributed with a mean of 73 degrees and18. What is the z-score that corresponds to a temperature of 80 degrees withiA.?1.4B.19. What symmetric interval about the mean will contain approximately 99.7A.58 to 88B.20. What is the probability that a randomly selected day will have a temperatA.0.95B.21. What temperature is at the 40th percentile (rounded to the nearest whole nA.72B.22. What percentage of daily temperatures are between 75 degrees and 80 deA.0.34B.23. Suppose random samples of 25 daily temperatures are selected repeatedlyA.C.Mean = 73, SD = 10Mean = 73, SD = 524. What is the probability that a sample of 25 daily temperatures chosen at rA.0.9773B.Problems 25 through 27 are based on the information provided directly below: Suppose you want to determine the average GPA of all FHSU students. Y25. Compute a 99% confidence interval for the mean GPA of all FHSU studeA.B.C.D.2.68 ±2.68 ±2.68 ±2.68 ±0.3720.4290.4040.45126. Assume the population standard deviation is estimated to be ? = 0.8.A.B.C.D.W6849305627. Consider the situation given in Problem #26. Which of the following wouA.B.C.D.Using a confidence level of 90%Using a smaller estimate for ?Using a smaller sample sizeAll of the above A through C28. Which of the following statements is false?A.The Central Limit Theorem states that a sampling distribdistribution from which it is taken.B.The Central Limit Theorem states that the mean of a sampopulation distribution from which it is taken.C.The Central Limit Theorem states that the standard deviahave a smaller standard deviation as the population distriD.None of A through C are false.29. If your population is normally distributed, which of the following statemeA.B.C.D.When ? is known, we use the critical value, z.When n >,30, we use the critical value, z.When n <, 30, we use the critical value, t.None of A through C are always true.30. A researcher is interested in conducting a poll on the President’s approvato meet this requirement at the 95% confidence level if no preliminary esA.B.C.D.1691250240117031. The marketing director for a cereal company would like to know what prlater purchase the cereal. A random sample of 250 households showed thainterval for the proportion of all households that purchased the cereal afteA.B.C.D.0.25 to 0.320.23 to 0.340.66 to 0.780.21 to 0.3632. The US census reported that it takes workers an average of 28 minutes toless than 28 minutes to drive home from work. Which of the following giworkers in Wichita to drive home from work is under 28 minutes?A.B.C.D.H1 : H1 : H1 : H1 : µ = 28µ <, 28µ >, 28µ ? 2833. The health of the bear population in Yellowstone National Park is monitohas a mean weight of 182.9 lb. Assuming that ? is known to be 121.8 lb,weights is greater than 150 lb. Compute the test statistic for this test witA.B.C.D.?1.982.731.98?2.7334. The Pew Research Center conducted a survey of 1007 randomly selectedlevel to test the claim that more than 75% of adults know what Twitter is.A.B.C.D.0.00012.762.60.004635. Suppose for a particular hypothesis test, a = 0.05 and the P value = 0.10.A.B.C.D.We reject the null hypothesis.We fail to reject the null hyppthesis.The observed result is ",not unusual",.The computed test statistic, z, does not fall in the shaded36. A sample of 40 women is obtained, and their heights (in inches) and pulsaverage pulse rate was 85.2 bpm. The linear correlation coefficient is r =represents height. Find the best predicted pulse rate of a woman who is 7A.B.C.D.85.2 bpm82.6 bpm54.0 bpm67.9 bpm37. A correlation coefficient of ?0.96 between two quantitative variables A aA. As A increases, B tends to increase.B. Changes in A cause changes in B.C. As A increases, B tends to decrease.D. There is a very weak association between A and B, and chan38. Of the scatterplot graphs below, which one represents the strongest, positA.C.Problems 39 and 40 refer to the following table pairing the values of the Consumer Price Index (CCPIPizza Cost30.20.1548.30.3539. Compute the least squares regression line for the cost of pizza.A.B.C.D.? = ? 0.1616x ? 0.0101? = 0.0101x ? 0.1616? = ? 0.0101x + 0.1616? = 0.1616x ? 0.010140. Calculate the linear correlation coefficient between the two variables.A.B.C.D.0.985?0.9850.971?0.971at answer to the left of the question’s number. Work should be shown out to the right of thevided on the next worksheet.sample locations in a lake, a researcher uses the ", line transect method", by stretching a single rope with containers tiedevery interval of 5 meters. Indetify which type of sampling is used here.Health want to determine the current rate of smoking among adults in Hays. They conduct a survey of 500 adults oftudy for this description.eionalveonaln millions of dollars) earned in box office receipts (first 2 weeks) of the movie “Gravity”.10108944nth for this sample data.B.DMean = 16.6, Median = 12.5. Mean = 16.6, Median = 11.0andard deviation and the range of the data?marized ACT Math scores of 50 randomly chosen college students. Estimate their mean ACT Math score by using classACT Score1–67 – 1213 – 1819 – 2425 – 3031 – 36antitative, discrete variable?lass (A, B, C, D, and U).a class..s the ages of people randomly selected from those who entered Thomas Prep-Marian High School during last Friday50 entered the school?60.4%C.54.2%D.57.6%artile (Q1) fall?20?29C. 30?39D. 70?79compare homework time per night with TV time per night for the same group of sophomores.0225bes the boxplot homework time?concerning the box-and-whisker plots?uartile range (IQR) than Homework timean than Homework timemum than Homework timean Homework timeor older, at least 15 had a Facebook account. What is the complement of this description?ebook account.acebook account.Facebook account.book account.statements is true?lement of event A is 0.32.happening twice in a row (with replacement) is 0.0064.ntppens, there are 100 times in which A doesn’t happen.group of five randomly selected males who have a form of color blindness. The probabilities are based on data fromwho have a form of color blindness, and P(x) is the probability of x males having a form of color blindness.20.0530.004of the males has a form of colorblindness.40.00150+males who have a form of color blindness.es, and 3 green marbles. If you draw two marbles, without replacement, what is the probability that you get 2 red0.1923C.0.8782D.0.8462ople have brown eyes. What is the probability of randomly selecting 2 people and neither of them has brown eyes?0.04C.0.64D.0.16aders have their own cell phone. Six third graders are randomly chosen. What is the probability that less than 2 of themmeets all the requirements of a binomial situation.)0.4C.0.68D.0.91D.1.03D.53 to 93with a mean of 73 degrees and a standard deviation of 5 degrees.mperature of 80 degrees within this distribution?1.4C.0.85ill contain approximately 99.7% of the daily temperatures?63 to 83C.ected day will have a temperature below 65 degrees?68 to 78?1.6C.1.6D.0.05C.69D.29C.0.84D.0.08ounded to the nearest whole number)?74between 75 degrees and 80 degrees?0.26ratures are selected repeatedly from the population. What is the mean and standard deviation for the sampling distribution ofB.D.Mean = 73, SD = 25Mean = 73, SD = 1daily temperatures chosen at random have an average above 75 degrees?0.3446C.0.0228D.0.6554rectly below: GPA of all FHSU students. You randomly select 33 students and find that those students had a mean GPA of 2.68.mean GPA of all FHSU students, if the sample standard deviation was s = 0.9.s estimated to be ? = 0.8.What sample size, n, is needed to obtain a margin of error of 0.25 with 99% confidence?6. Which of the following would produce a confidence interval with a larger margin of error?f 90%or ?eCm states that a sampling distribution of means will not have the same shape as the populationis taken.m states that the mean of a sampling distribution of means will have the same mean as them which it is taken.m states that the standard deviation of a sampling distribution of means (with n >, 1) willviation as the population distribution from which it is taken.alse.which of the following statements regarding confidence intervals of population means is always true?the critical value, z.itical value, z.ritical value, t.always true.oll on the President’s approval rating. A margin of error of at most 2% is desired. How many people must be sampledence level if no preliminary estimate of p-hat is known?y would like to know what proportion of households that received free samples of the cereal with their newspapersof 250 households showed that 72 purchased the cereal after receiving the free sample. Construct a 95% confidences that purchased the cereal after receiving the free sample.rs an average of 28 minutes to drive home from work. City officials in Wichita believe that it takes workers in their cityork. Which of the following gives the proper alternative hypothesis to test the claim that the average length of time fork is under 28 minutes?stone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 such bearshat ? is known to be 121.8 lb, use a 0.05 significance level to test the claim that the population mean of all such bearhe test statistic for this test with H1: ? >, 150.ey of 1007 randomly selected adults and found that 791 of those adults know what Twitter is. Use a 0.01 significancef adults know what Twitter is. Compute the P value for this test.= 0.05 and the P value = 0.10. Which of the following statements is false?sis.yppthesis.unusual",., z, does not fall in the shaded critical region of the tail in the normal curve.ir heights (in inches) and pulse rates (in beats per minute) are measured. The average height was 67.9 inches and ther correlation coefficient is r = 0.802 and the equation of the regression line is found to be ? = 18.26 + 0.920x , where xpulse rate of a woman who is 70 inches tall.two quantitative variables A and B indicates thatrease.n B.crease.ion between A and B, and change in A will not affect B.represents the strongest, positive linear correlation?B.D.f the Consumer Price Index (CPI) and the national average cost of a slice of pizza: 112.31or the cost of pizza.between the two variables.162.21.25191.91.75197.82pe with containers tiedurvey of 500 adults ofath score by using classFrequency36121694ool during last Fridaye based on data fromlor blindness.that you get 2 redem has brown eyes?that less than 2 of themor the sampling distribution of sample means?a mean GPA of 2.68.with 99% confidence?s true?ople must be sampledith their newspapersuct a 95% confidencekes workers in their cityerage length of time forample of 54 such bearsmean of all such bearUse a 0.01 significanceas 67.9 inches and the8.26 + 0.920x , where x

## When Collecting Water Data From Different

Multiple Choice. Choose the one best answer, placing that answer to the left of the quequestion as needed. Hypothesis testing templates are provided on the next worksheet.1. When collecting water data from different sample locations in a lake, a reto it across the lake and collects samples at every interval of 5 meters. InA.B.C.D.Random SamplingConvenience SamplingCluster samplingSystematic sampling2. Researchers from the National Institutes of Health want to determine theeach gender in Hays. Identify the types of study for this description.A. Observational and ProspectiveB. Observational and Cross-sectionalC. Experimental and RetrospectiveD. Experimental and Cross-sectionalProblems 3 and 4 refer to the following data:These data show the daily gross amounts (in millions of dollars) earned in40222729202414113. Find the mean and median to the nearest tenth for this sample data.A.CMean = 22.0, Median = 12.5. Mean = 22.0, Median = 11.04. Which of the following gives the sample standard deviation and the rangeA. SD = 10.7, Range = 18B. SD = 10.7, Range = 36C. SD = 12.5, Range = 18D. SD = 12.5, Range = 365. The following frequency distribution summarized ACT Math scores of 50midpoints for the ACT scores.A. Mean = 19.58B. Mean = 18.62C. Mean = 18.00D. Mean = 21.576. Which one of the following describes a quantitative, discrete variable?A. Letter grade of students in a class (A, B, C, D, and U).B. Mean IQ Score of students in a class.C. Height of student in a class.D. Number of students in a class.Problems 7 and 8 refer to the following histogram, which represents the ages of people randomlymorning (Parent-teacher meeting):7. What percent of people with ages less than 50 entered the school?A.45.8%B.8. Within which age group would the first quartile (Q1) fall?A. 10?19B.Problems 9 and 10 refer to the following box-and-whisker plots to compare homework time per nHomework time (in minutes)02048 60TV time (in minutes)190TV time (in minutes)0 15601102259. Which distribution shape most likely describes the boxplot homework timA.B.C.D.Skewed rightSkewed leftUniformNormal10. Which of the following statements is false concerning the box-and-whiskA.B.C.D.TV time has a larger interquartile range (IQR) than HomTV time has a larger median than Homework timeTV time has a larger maximum than Homework timeTV time has a larger Q1 than Homework time11. Out of fifty randomly chosen adults age 65 or older, at least 15 had a FacA.B.C.D.Fifteen or fewer had a Facebook account.Fewer than fifteen had a Facebook account.No more than fifteen had a Facebook account.Fifteen or more had a Facebook account.12. If P(A) = 0.08, which one of the following statements is true?A.B.C.D.The probability of the complement of event A is 0.32.The probability of event A happening twice in a row (withEvent A is an “unusual” eventFor each 8 times event A happens, there are 100 times in wProblems 13 and 14 refer to the following table:The following table is the probability distribution for the number in a group of five randomly selectethe National Institutes of Health. In the table, x = the number of males who have a form of color blinxP(x)00.65810.28713. Determine the probability that at least one of the males has a form of coloA.B.C.D.0.6580.3420.9450.05514. Determine the expected number (mean) of males who have a form of coloA.B.C.D.0.050.20.4315. A bag contains 6 red marbles, 4 blue marbles, and 3 green marbles. If yomarbles?A.0.1775B.16. A widely accepted fact is that 80% of all people have brown eyes. What iA.1.6B.17. According to one study, 19% of all third graders have their own cell phonhave a cell phone? (NOTE: this problem meets all the requirements of aA.0.23B.Problems 18 through 24 refer to the following:Daily temperatures in Honolulu are normally distributed with a mean of 73 degrees and18. What is the z-score that corresponds to a temperature of 80 degrees withiA.?1.4B.19. What symmetric interval about the mean will contain approximately 99.7A.58 to 88B.20. What is the probability that a randomly selected day will have a temperatA.0.95B.21. What temperature is at the 40th percentile (rounded to the nearest whole nA.72B.22. What percentage of daily temperatures are between 75 degrees and 80 deA.0.34B.23. Suppose random samples of 25 daily temperatures are selected repeatedlyA.C.Mean = 73, SD = 10Mean = 73, SD = 524. What is the probability that a sample of 25 daily temperatures chosen at rA.0.9773B.Problems 25 through 27 are based on the information provided directly below:Suppose you want to determine the average GPA of all FHSU students. Y25. Compute a 99% confidence interval for the mean GPA of all FHSU studeA.B.C.D.2.68 ±2.68 ±2.68 ±2.68 ±0.3720.4290.4040.45126. Assume the population standard deviation is estimated to be ? = 0.8.A.B.C.D.W6849305627. Consider the situation given in Problem #26. Which of the following wouA.B.C.D.Using a confidence level of 90%Using a smaller estimate for ?Using a smaller sample sizeAll of the above A through C28. Which of the following statements is false?A.The Central Limit Theorem states that a sampling distribdistribution from which it is taken.B.The Central Limit Theorem states that the mean of a sampopulation distribution from which it is taken.C.The Central Limit Theorem states that the standard deviahave a smaller standard deviation as the population distriD.None of A through C are false.29. If your population is normally distributed, which of the following statemeA.B.C.D.When ? is known, we use the critical value, z.When n >,30, we use the critical value, z.When n <, 30, we use the critical value, t.None of A through C are always true.30. A researcher is interested in conducting a poll on the President’s approvato meet this requirement at the 95% confidence level if no preliminary esA.B.C.D.1691250240117031. The marketing director for a cereal company would like to know what prlater purchase the cereal. A random sample of 250 households showed thainterval for the proportion of all households that purchased the cereal afteA.B.C.D.0.25 to 0.320.23 to 0.340.66 to 0.780.21 to 0.3632. The US census reported that it takes workers an average of 28 minutes toless than 28 minutes to drive home from work. Which of the following giworkers in Wichita to drive home from work is under 28 minutes?A.B.C.D.H1 :H1 :H1 :H1 :µ = 28µ <, 28µ >, 28µ ? 2833. The health of the bear population in Yellowstone National Park is monitohas a mean weight of 182.9 lb. Assuming that ? is known to be 121.8 lb,weights is greater than 150 lb. Compute the test statistic for this test witA.B.C.D.?1.982.731.98?2.7334. The Pew Research Center conducted a survey of 1007 randomly selectedlevel to test the claim that more than 75% of adults know what Twitter is.A.B.C.D.0.00012.762.60.004635. Suppose for a particular hypothesis test, a = 0.05 and the P value = 0.10.A.B.C.D.We reject the null hypothesis.We fail to reject the null hyppthesis.The observed result is ",not unusual",.The computed test statistic, z, does not fall in the shaded36. A sample of 40 women is obtained, and their heights (in inches) and pulsaverage pulse rate was 85.2 bpm. The linear correlation coefficient is r =represents height. Find the best predicted pulse rate of a woman who is 7A.B.C.D.85.2 bpm82.6 bpm54.0 bpm67.9 bpm37. A correlation coefficient of ?0.96 between two quantitative variables A aA. As A increases, B tends to increase.B. Changes in A cause changes in B.C. As A increases, B tends to decrease.D. There is a very weak association between A and B, and chan38. Of the scatterplot graphs below, which one represents the strongest, positA.C.Problems 39 and 40 refer to the following table pairing the values of the Consumer Price Index (CCPIPizza Cost30.20.1548.30.3539. Compute the least squares regression line for the cost of pizza.A.B.C.D.? = ? 0.1616x ? 0.0101? = 0.0101x ? 0.1616? = ? 0.0101x + 0.1616? = 0.1616x ? 0.010140. Calculate the linear correlation coefficient between the two variables.A.B.C.D.0.985?0.9850.971?0.971at answer to the left of the question’s number. Work should be shown out to the right of thevided on the next worksheet.sample locations in a lake, a researcher uses the ", line transect method", by stretching a single rope with containers tiedevery interval of 5 meters. Indetify which type of sampling is used here.Health want to determine the current rate of smoking among adults in Hays. They conduct a survey of 500 adults oftudy for this description.eionalveonaln millions of dollars) earned in box office receipts (first 2 weeks) of the movie “Gravity”.10108944nth for this sample data.B.DMean = 16.6, Median = 12.5. Mean = 16.6, Median = 11.0andard deviation and the range of the data?marized ACT Math scores of 50 randomly chosen college students. Estimate their mean ACT Math score by using classACT Score1–67 – 1213 – 1819 – 2425 – 3031 – 36antitative, discrete variable?lass (A, B, C, D, and U).a class..s the ages of people randomly selected from those who entered Thomas Prep-Marian High School during last Friday50 entered the school?60.4%C.54.2%D.57.6%artile (Q1) fall?20?29C. 30?39D. 70?79compare homework time per night with TV time per night for the same group of sophomores.0225bes the boxplot homework time?concerning the box-and-whisker plots?uartile range (IQR) than Homework timean than Homework timemum than Homework timean Homework timeor older, at least 15 had a Facebook account. What is the complement of this description?ebook account.acebook account.Facebook account.book account.statements is true?lement of event A is 0.32.happening twice in a row (with replacement) is 0.0064.ntppens, there are 100 times in which A doesn’t happen.group of five randomly selected males who have a form of color blindness. The probabilities are based on data fromwho have a form of color blindness, and P(x) is the probability of x males having a form of color blindness.20.0530.004of the males has a form of colorblindness.40.00150+males who have a form of color blindness.es, and 3 green marbles. If you draw two marbles, without replacement, what is the probability that you get 2 red0.1923C.0.8782D.0.8462ople have brown eyes. What is the probability of randomly selecting 2 people and neither of them has brown eyes?0.04C.0.64D.0.16aders have their own cell phone. Six third graders are randomly chosen. What is the probability that less than 2 of themmeets all the requirements of a binomial situation.)0.4C.0.68D.0.91D.1.03D.53 to 93with a mean of 73 degrees and a standard deviation of 5 degrees.mperature of 80 degrees within this distribution?1.4C.0.85ill contain approximately 99.7% of the daily temperatures?63 to 83C.ected day will have a temperature below 65 degrees?68 to 78?1.6C.1.6D.0.05C.69D.29C.0.84D.0.08ounded to the nearest whole number)?74between 75 degrees and 80 degrees?0.26ratures are selected repeatedly from the population. What is the mean and standard deviation for the sampling distribution ofB.D.Mean = 73, SD = 25Mean = 73, SD = 1daily temperatures chosen at random have an average above 75 degrees?0.3446C.0.0228D.0.6554rectly below:GPA of all FHSU students. You randomly select 33 students and find that those students had a mean GPA of 2.68.mean GPA of all FHSU students, if the sample standard deviation was s = 0.9.s estimated to be ? = 0.8.What sample size, n, is needed to obtain a margin of error of 0.25 with 99% confidence?6. Which of the following would produce a confidence interval with a larger margin of error?f 90%or ?eCm states that a sampling distribution of means will not have the same shape as the populationis taken.m states that the mean of a sampling distribution of means will have the same mean as them which it is taken.m states that the standard deviation of a sampling distribution of means (with n >, 1) willviation as the population distribution from which it is taken.alse.which of the following statements regarding confidence intervals of population means is always true?the critical value, z.itical value, z.ritical value, t.always true.oll on the President’s approval rating. A margin of error of at most 2% is desired. How many people must be sampledence level if no preliminary estimate of p-hat is known?y would like to know what proportion of households that received free samples of the cereal with their newspapersof 250 households showed that 72 purchased the cereal after receiving the free sample. Construct a 95% confidences that purchased the cereal after receiving the free sample.rs an average of 28 minutes to drive home from work. City officials in Wichita believe that it takes workers in their cityork. Which of the following gives the proper alternative hypothesis to test the claim that the average length of time fork is under 28 minutes?stone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 such bearshat ? is known to be 121.8 lb, use a 0.05 significance level to test the claim that the population mean of all such bearhe test statistic for this test with H1: ? >, 150.ey of 1007 randomly selected adults and found that 791 of those adults know what Twitter is. Use a 0.01 significancef adults know what Twitter is. Compute the P value for this test.= 0.05 and the P value = 0.10. Which of the following statements is false?sis.yppthesis.unusual",., z, does not fall in the shaded critical region of the tail in the normal curve.ir heights (in inches) and pulse rates (in beats per minute) are measured. The average height was 67.9 inches and ther correlation coefficient is r = 0.802 and the equation of the regression line is found to be ? = 18.26 + 0.920x , where xpulse rate of a woman who is 70 inches tall.two quantitative variables A and B indicates thatrease.n B.crease.ion between A and B, and change in A will not affect B.represents the strongest, positive linear correlation?B.D.f the Consumer Price Index (CPI) and the national average cost of a slice of pizza:112.31or the cost of pizza.between the two variables.162.21.25191.91.75197.82pe with containers tiedurvey of 500 adults ofath score by using classFrequency36121694ool during last Fridaye based on data fromlor blindness.that you get 2 redem has brown eyes?that less than 2 of themor the sampling distribution of sample means?a mean GPA of 2.68.with 99% confidence?s true?ople must be sampledith their newspapersuct a 95% confidencekes workers in their cityerage length of time forample of 54 such bearsmean of all such bearUse a 0.01 significanceas 67.9 inches and the8.26 + 0.920x , where x

## When collecting water data from different

Question

Multiple Choice. Choose the one best answer, placing that answer to the left of the que

question as needed. Hypothesis testing templates are provided on the next worksheet.

1. When collecting water data from different sample locations in a lake, a re

to it across the lake and collects samples at every interval of 5 meters. In

A.

B.

C.

D.

Random Sampling

Convenience Sampling

Cluster sampling

Systematic sampling

2. Researchers from the National Institutes of Health want to determine the

each gender in Hays. Identify the types of study for this description.

A. Observational and Prospective

B. Observational and Cross-sectional

C. Experimental and Retrospective

D. Experimental and Cross-sectional

Problems 3 and 4 refer to the following data:

These data show the daily gross amounts (in millions of dollars) earned in

40

22

27

29

20

24

14

11

3. Find the mean and median to the nearest tenth for this sample data.

A

.CMean = 22.0, Median = 12.5

. Mean = 22.0, Median = 11.0

4. Which of the following gives the sample standard deviation and the range

A. SD = 10.7, Range = 18

B. SD = 10.7, Range = 36

C. SD = 12.5, Range = 18

D. SD = 12.5, Range = 36

5. The following frequency distribution summarized ACT Math scores of 50

midpoints for the ACT scores.

A. Mean = 19.58

B. Mean = 18.62

C. Mean = 18.00

D. Mean = 21.57

6. Which one of the following describes a quantitative, discrete variable?

A. Letter grade of students in a class (A, B, C, D, and U).

B. Mean IQ Score of students in a class.

C. Height of student in a class.

D. Number of students in a class.

Problems 7 and 8 refer to the following histogram, which represents the ages of people randomly

morning (Parent-teacher meeting):

7. What percent of people with ages less than 50 entered the school?

A.

45.8%

B.

8. Within which age group would the first quartile (Q1) fall?

A. 10?19

B.

Problems 9 and 10 refer to the following box-and-whisker plots to compare homework time per n

Homework time (in minutes)

0

20

48 60

TV time (in minutes)

190

TV time (in minutes)

0 15

60

110

225

9. Which distribution shape most likely describes the boxplot homework tim

A.

B.

C.

D.

Skewed right

Skewed left

Uniform

Normal

10. Which of the following statements is false concerning the box-and-whisk

A.

B.

C.

D.

TV time has a larger interquartile range (IQR) than Hom

TV time has a larger median than Homework time

TV time has a larger maximum than Homework time

TV time has a larger Q1 than Homework time

11. Out of fifty randomly chosen adults age 65 or older, at least 15 had a Fac

A.

B.

C.

D.

Fifteen or fewer had a Facebook account.

Fewer than fifteen had a Facebook account.

No more than fifteen had a Facebook account.

Fifteen or more had a Facebook account.

12. If P(A) = 0.08, which one of the following statements is true?

A.

B.

C.

D.

The probability of the complement of event A is 0.32.

The probability of event A happening twice in a row (with

Event A is an “unusual” event

For each 8 times event A happens, there are 100 times in w

Problems 13 and 14 refer to the following table:

The following table is the probability distribution for the number in a group of five randomly selecte

the National Institutes of Health. In the table, x = the number of males who have a form of color blin

x

P(x)

0

0.658

1

0.287

13. Determine the probability that at least one of the males has a form of colo

A.

B.

C.

D.

0.658

0.342

0.945

0.055

14. Determine the expected number (mean) of males who have a form of colo

A.

B.

C.

D.

0.05

0.2

0.4

3

15. A bag contains 6 red marbles, 4 blue marbles, and 3 green marbles. If yo

marbles?

A.

0.1775

B.

16. A widely accepted fact is that 80% of all people have brown eyes. What i

A.

1.6

B.

17. According to one study, 19% of all third graders have their own cell phon

have a cell phone? (NOTE: this problem meets all the requirements of a

A.

0.23

B.

Problems 18 through 24 refer to the following:

Daily temperatures in Honolulu are normally distributed with a mean of 73 degrees and

18. What is the z-score that corresponds to a temperature of 80 degrees withi

A.

?1.4

B.

19. What symmetric interval about the mean will contain approximately 99.7

A.

58 to 88

B.

20. What is the probability that a randomly selected day will have a temperat

A.

0.95

B.

21. What temperature is at the 40th percentile (rounded to the nearest whole n

A.

72

B.

22. What percentage of daily temperatures are between 75 degrees and 80 de

A.

0.34

B.

23. Suppose random samples of 25 daily temperatures are selected repeatedly

A.

C.

Mean = 73, SD = 10

Mean = 73, SD = 5

24. What is the probability that a sample of 25 daily temperatures chosen at r

A.

0.9773

B.

Problems 25 through 27 are based on the information provided directly below:

Suppose you want to determine the average GPA of all FHSU students. Y

25. Compute a 99% confidence interval for the mean GPA of all FHSU stude

A.

B.

C.

D.

2.68 ±

2.68 ±

2.68 ±

2.68 ±

0.372

0.429

0.404

0.451

26. Assume the population standard deviation is estimated to be ? = 0.8.

A.

B.

C.

D.

W

68

49

30

56

27. Consider the situation given in Problem #26. Which of the following wou

A.

B.

C.

D.

Using a confidence level of 90%

Using a smaller estimate for ?

Using a smaller sample size

All of the above A through C

28. Which of the following statements is false?

A.

The Central Limit Theorem states that a sampling distrib

distribution from which it is taken.

B.

The Central Limit Theorem states that the mean of a sam

population distribution from which it is taken.

C.

The Central Limit Theorem states that the standard devia

have a smaller standard deviation as the population distri

D.

None of A through C are false.

29. If your population is normally distributed, which of the following stateme

A.

B.

C.

D.

When ? is known, we use the critical value, z.

When n >30, we use the critical value, z.

When n < 30, we use the critical value, t.

None of A through C are always true.

30. A researcher is interested in conducting a poll on the President’s approva

to meet this requirement at the 95% confidence level if no preliminary es

A.

B.

C.

D.

1691

250

2401

170

31. The marketing director for a cereal company would like to know what pr

later purchase the cereal. A random sample of 250 households showed tha

interval for the proportion of all households that purchased the cereal afte

A.

B.

C.

D.

0.25 to 0.32

0.23 to 0.34

0.66 to 0.78

0.21 to 0.36

32. The US census reported that it takes workers an average of 28 minutes to

less than 28 minutes to drive home from work. Which of the following gi

workers in Wichita to drive home from work is under 28 minutes?

A.

B.

C.

D.

H1 :

H1 :

H1 :

H1 :

µ = 28

µ < 28

µ > 28

µ ? 28

33. The health of the bear population in Yellowstone National Park is monito

has a mean weight of 182.9 lb. Assuming that ? is known to be 121.8 lb,

weights is greater than 150 lb. Compute the test statistic for this test wit

A.

B.

C.

D.

?1.98

2.73

1.98

?2.73

34. The Pew Research Center conducted a survey of 1007 randomly selected

level to test the claim that more than 75% of adults know what Twitter is.

A.

B.

C.

D.

0.0001

2.76

2.6

0.0046

35. Suppose for a particular hypothesis test, a = 0.05 and the P value = 0.10.

A.

B.

C.

D.

We reject the null hypothesis.

We fail to reject the null hyppthesis.

The observed result is "not unusual".

The computed test statistic, z, does not fall in the shaded

36. A sample of 40 women is obtained, and their heights (in inches) and puls

average pulse rate was 85.2 bpm. The linear correlation coefficient is r =

represents height. Find the best predicted pulse rate of a woman who is 7

A.

B.

C.

D.

85.2 bpm

82.6 bpm

54.0 bpm

67.9 bpm

37. A correlation coefficient of ?0.96 between two quantitative variables A a

A. As A increases, B tends to increase.

B. Changes in A cause changes in B.

C. As A increases, B tends to decrease.

D. There is a very weak association between A and B, and chan

38. Of the scatterplot graphs below, which one represents the strongest, posit

A.

C.

Problems 39 and 40 refer to the following table pairing the values of the Consumer Price Index (C

CPI

Pizza Cost

30.2

0.15

48.3

0.35

39. Compute the least squares regression line for the cost of pizza.

A.

B.

C.

D.

? = ? 0.1616x ? 0.0101

? = 0.0101x ? 0.1616

? = ? 0.0101x + 0.1616

? = 0.1616x ? 0.0101

40. Calculate the linear correlation coefficient between the two variables.

A.

B.

C.

D.

0.985

?0.985

0.971

?0.971

at answer to the left of the question’s number. Work should be shown out to the right of the

vided on the next worksheet.

sample locations in a lake, a researcher uses the " line transect method" by stretching a single rope with containers tied

every interval of 5 meters. Indetify which type of sampling is used here.

Health want to determine the current rate of smoking among adults in Hays. They conduct a survey of 500 adults of

tudy for this description.

e

ional

ve

onal

n millions of dollars) earned in box office receipts (first 2 weeks) of the movie “Gravity”.

10

10

8

9

4

4

nth for this sample data.

B

.DMean = 16.6, Median = 12.5

. Mean = 16.6, Median = 11.0

andard deviation and the range of the data?

marized ACT Math scores of 50 randomly chosen college students. Estimate their mean ACT Math score by using class

ACT Score

1–6

7 – 12

13 – 18

19 – 24

25 – 30

31 – 36

antitative, discrete variable?

lass (A, B, C, D, and U).

a class.

.

s the ages of people randomly selected from those who entered Thomas Prep-Marian High School during last Friday

50 entered the school?

60.4%

C.

54.2%

D.

57.6%

artile (Q1) fall?

20?29

C. 30?39

D. 70?79

compare homework time per night with TV time per night for the same group of sophomores.

0

225

bes the boxplot homework time?

concerning the box-and-whisker plots?

uartile range (IQR) than Homework time

an than Homework time

mum than Homework time

an Homework time

or older, at least 15 had a Facebook account. What is the complement of this description?

ebook account.

acebook account.

Facebook account.

book account.

statements is true?

lement of event A is 0.32.

happening twice in a row (with replacement) is 0.0064.

nt

ppens, there are 100 times in which A doesn’t happen.

group of five randomly selected males who have a form of color blindness. The probabilities are based on data from

who have a form of color blindness, and P(x) is the probability of x males having a form of color blindness.

2

0.05

3

0.004

of the males has a form of colorblindness.

4

0.001

5

0+

males who have a form of color blindness.

es, and 3 green marbles. If you draw two marbles, without replacement, what is the probability that you get 2 red

0.1923

C.

0.8782

D.

0.8462

ople have brown eyes. What is the probability of randomly selecting 2 people and neither of them has brown eyes?

0.04

C.

0.64

D.

0.16

aders have their own cell phone. Six third graders are randomly chosen. What is the probability that less than 2 of them

meets all the requirements of a binomial situation.)

0.4

C.

0.68

D.

0.91

D.

1.03

D.

53 to 93

with a mean of 73 degrees and a standard deviation of 5 degrees.

mperature of 80 degrees within this distribution?

1.4

C.

0.85

ill contain approximately 99.7% of the daily temperatures?

63 to 83

C.

ected day will have a temperature below 65 degrees?

68 to 78

?1.6

C.

1.6

D.

0.05

C.

69

D.

29

C.

0.84

D.

0.08

ounded to the nearest whole number)?

74

between 75 degrees and 80 degrees?

0.26

ratures are selected repeatedly from the population. What is the mean and standard deviation for the sampling distribution of

B.

D.

Mean = 73, SD = 25

Mean = 73, SD = 1

daily temperatures chosen at random have an average above 75 degrees?

0.3446

C.

0.0228

D.

0.6554

rectly below:

GPA of all FHSU students. You randomly select 33 students and find that those students had a mean GPA of 2.68.

mean GPA of all FHSU students, if the sample standard deviation was s = 0.9.

s estimated to be ? = 0.8.

What sample size, n, is needed to obtain a margin of error of 0.25 with 99% confidence?

6. Which of the following would produce a confidence interval with a larger margin of error?

f 90%

or ?

e

C

m states that a sampling distribution of means will not have the same shape as the population

is taken.

m states that the mean of a sampling distribution of means will have the same mean as the

m which it is taken.

m states that the standard deviation of a sampling distribution of means (with n > 1) will

viation as the population distribution from which it is taken.

alse.

which of the following statements regarding confidence intervals of population means is always true?

the critical value, z.

itical value, z.

ritical value, t.

always true.

oll on the President’s approval rating. A margin of error of at most 2% is desired. How many people must be sampled

ence level if no preliminary estimate of p-hat is known?

y would like to know what proportion of households that received free samples of the cereal with their newspapers

of 250 households showed that 72 purchased the cereal after receiving the free sample. Construct a 95% confidence

s that purchased the cereal after receiving the free sample.

rs an average of 28 minutes to drive home from work. City officials in Wichita believe that it takes workers in their city

ork. Which of the following gives the proper alternative hypothesis to test the claim that the average length of time for

k is under 28 minutes?

stone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 such bears

hat ? is known to be 121.8 lb, use a 0.05 significance level to test the claim that the population mean of all such bear

he test statistic for this test with H1: ? > 150.

ey of 1007 randomly selected adults and found that 791 of those adults know what Twitter is. Use a 0.01 significance

f adults know what Twitter is. Compute the P value for this test.

= 0.05 and the P value = 0.10. Which of the following statements is false?

sis.

yppthesis.

unusual".

, z, does not fall in the shaded critical region of the tail in the normal curve.

ir heights (in inches) and pulse rates (in beats per minute) are measured. The average height was 67.9 inches and the

r correlation coefficient is r = 0.802 and the equation of the regression line is found to be ? = 18.26 + 0.920x , where x

pulse rate of a woman who is 70 inches tall.

two quantitative variables A and B indicates that

rease.

n B.

crease.

ion between A and B, and change in A will not affect B.

represents the strongest, positive linear correlation?

B.

D.

f the Consumer Price Index (CPI) and the national average cost of a slice of pizza:

112.3

1

or the cost of pizza.

between the two variables.

162.2

1.25

191.9

1.75

197.8

2

pe with containers tied

urvey of 500 adults of

ath score by using class

Frequency

3

6

12

16

9

4

ool during last Friday

e based on data from

lor blindness.

that you get 2 red

em has brown eyes?

that less than 2 of them

or the sampling distribution of sample means?

a mean GPA of 2.68.

with 99% confidence?

s true?

ople must be sampled

ith their newspapers

uct a 95% confidence

kes workers in their city

erage length of time for

ample of 54 such bears

mean of all such bear

Use a 0.01 significance

as 67.9 inches and the

8.26 + 0.920x , where x

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