## 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.

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.
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

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