## Statistics 200 Assume The Weights Of Men Are Normally

1. Assume the weights of men are normally distributed with a mean of 170 lbs and a standarddeviation of 30 lbs. Show all work. Just the answer, without supporting work, will receive nocredit. (a)(b)Find the 75th percentile for the distribution of men’s weights. What is the probability that a randomly selected man weighs more than 200 lbs2. (a)(b)Assume the SAT Mathematics Level 2 test scores are normally distributed with a mean of 500and a standard deviation of 100. Show all work. Just the answer, without supporting work, willreceive no credit. If a random sample of 64 test scores is selected, what is the standard deviation of the samplemean?What is the probability that 64 randomly selected test scores will have a mean test score that isbetween 475 and 525?3. A survey showed that 80% of the 1600 adult respondents believe in global warming. Construct a90% confidence interval estimate of the proportion of adults believing in global warming. Showall work. Just the answer, without supporting work, will receive no credit. 4. In a study designed to test the effectiveness of garlic for lowering cholesterol, 49 adults weretreated with garlic tablets. Cholesterol levels were measured before and after the treatment. Thechanges in their LDL cholesterol (in mg/dL) have a mean of 3 and standard deviation of 14. Construct a 95% confidence interval estimate of the mean change in LDL cholesterol after thegarlic tablet treatment. Show all work. Just the answer, without supporting work, will receiveno credit. 5. Mimi is interested in testing the claim that banana is the favorite fruit for more than 50% of theadults. She conducted a survey on a random sample of 100 adults. 58 adults in the samplechose banana as his / her favorite fruit. Assume Mimi wants to use a 0. 10 significance level to test the claim. (a)Identify the null hypothesis and the alternative hypothesis. (b)Determine the test statistic. Show all work, writing the correct test statistic, without supportingwork, will receive no credit. Determine the P-value for this test. Show all work, writing the correct P-value, withoutsupporting work, will receive no credit. Is there sufficient evidence to support the claim that banana is the favorite fruit for more than50% of the adults? Explain. (c)(d)6. In a study of freshman weight gain, the measured weights of 5 randomly selected collegestudents in September and April of their freshman year are shown in the following table. Student12345Weight (kg)SeptemberApril67665355646871707075Is there evidence to suggest that the mean weight of the freshmen in April is greater than themean weight in September?Assume we want to use a 0. 10 significance level to test the claim. (a)Identify the null hypothesis and the alternative hypothesis. (b)Determine the test statistic. Show all work, writing the correct test statistic, without supportingwork, will receive no credit. Determine the P-value for this test. Show all work, writing the correct P-value, withoutsupporting work, will receive no credit. Is there sufficient evidence to support the claim that the mean weight of the freshmen in Aprilis greater than the mean weight in September? Justify your conclusion. (c)(d)7. In a pulse rate research, a simple random sample of 40 men results in a mean of 80 beats perminute, and a standard deviation of 11. 3 beats per minute. Based on the sample results, theresearcher concludes that the pulse rates of men have a standard deviation greater than 10 beatsper minutes. Use a 0. 05 significance level to test the researcher’s claim. (a)Identify the null hypothesis and alternative hypothesis. (b)Determine the test statistic. Show all work, writing the correct test statistic, withoutsupporting work, will receive no credit. Determine the P-value for this test. Show all work, writing the correct P-value, withoutsupporting work, will receive no credit. Is there sufficient evidence to support the researcher’s claim? Explain. (c)(d)8. The UMUC Daily News reported that the color distribution for plain M&,M’s was: 40%brown, 20% yellow, 10% orange, 10% green, and 20% tan. Each piece of candy in a randomsample of 100 plain M&,M’s was classified according to color, and the results are listed below. Use a 0. 05 significance level to test the claim that the published color distribution is correct. Show all work and justify your answer. ColorNumberBrown42Yellow21Orange12Green7Tan18(a) Identify the null hypothesis and the alternative hypothesis. (b) Determine the test statistic. Show all work, writing the correct test statistic,without supporting work, will receive no credit. (c) Determine the P-value. Show all work, writing the correct P-value, without supportingwork, will receive no credit. (d) Is there sufficient evidence to support the claim that the published color distribution iscorrect? Justify your answer. 9. A STAT 200 instructor believes that the average quiz score is a good predictor of final examscore. A random sample of 5 students produced the following data where x is the average quizscore and y is the final exam score. xy(a)(b)80145501506013010018070120Find an equation of the least squares regression line. Show all work, writing the correctequation, without supporting work, will receive no credit. Based on the equation from part (a), what is the predicted final exam score if the average quizscore is 90? Show all work and justify your answer.

## STATISTICS 200 Assume the weights of men are normally

Assume the weights of men are normally distributed with a mean of 170 lbs and a standard

deviation of 30 lbs. Show all work. Just the answer, without supporting work, will receive no

credit.

(a)

(b)

Find the 75th percentile for the distribution of men’s weights.

What is the probability that a randomly selected man weighs more than 200 lbs

2.

(a)

(b)

Assume the SAT Mathematics Level 2 test scores are normally distributed with a mean of 500

and a standard deviation of 100. Show all work. Just the answer, without supporting work, will

receive no credit.

If a random sample of 64 test scores is selected, what is the standard deviation of the sample

mean?

What is the probability that 64 randomly selected test scores will have a mean test score that is

between 475 and 525?

3.

A survey showed that 80% of the 1600 adult respondents believe in global warming. Construct a

90% confidence interval estimate of the proportion of adults believing in global warming. Show

all work. Just the answer, without supporting work, will receive no credit.

4.

In a study designed to test the effectiveness of garlic for lowering cholesterol, 49 adults were

treated with garlic tablets. Cholesterol levels were measured before and after the treatment. The

changes in their LDL cholesterol (in mg/dL) have a mean of 3 and standard deviation of 14.

Construct a 95% confidence interval estimate of the mean change in LDL cholesterol after the

garlic tablet treatment. Show all work. Just the answer, without supporting work, will receive

no credit.

5.

Mimi is interested in testing the claim that banana is the favorite fruit for more than 50% of the

adults. She conducted a survey on a random sample of 100 adults. 58 adults in the sample

chose banana as his / her favorite fruit.

Assume Mimi wants to use a 0.10 significance level to test the claim.

(a)

Identify the null hypothesis and the alternative hypothesis.

(b)

Determine the test statistic. Show all work; writing the correct test statistic, without supporting

work, will receive no credit.

Determine the P-value for this test. Show all work; writing the correct P-value, without

supporting work, will receive no credit.

Is there sufficient evidence to support the claim that banana is the favorite fruit for more than

50% of the adults? Explain.

(c)

(d)

6.

In a study of freshman weight gain, the measured weights of 5 randomly selected college

students in September and April of their freshman year are shown in the following table.

Student

1

2

3

4

5

Weight (kg)

September

April

67

66

53

55

64

68

71

70

70

75

Is there evidence to suggest that the mean weight of the freshmen in April is greater than the

mean weight in September?

Assume we want to use a 0.10 significance level to test the claim.

(a)

Identify the null hypothesis and the alternative hypothesis.

(b)

Determine the test statistic. Show all work; writing the correct test statistic, without supporting

work, will receive no credit.

Determine the P-value for this test. Show all work; writing the correct P-value, without

supporting work, will receive no credit.

Is there sufficient evidence to support the claim that the mean weight of the freshmen in April

is greater than the mean weight in September? Justify your conclusion.

(c)

(d)

7.

In a pulse rate research, a simple random sample of 40 men results in a mean of 80 beats per

minute, and a standard deviation of 11.3 beats per minute. Based on the sample results, the

researcher concludes that the pulse rates of men have a standard deviation greater than 10 beats

per minutes. Use a 0.05 significance level to test the researcher’s claim.

(a)

Identify the null hypothesis and alternative hypothesis.

(b)

Determine the test statistic. Show all work; writing the correct test statistic, without

supporting work, will receive no credit.

Determine the P-value for this test. Show all work; writing the correct P-value, without

supporting work, will receive no credit.

Is there sufficient evidence to support the researcher’s claim? Explain.

(c)

(d)

8.

The UMUC Daily News reported that the color distribution for plain M&M’s was: 40%

brown, 20% yellow, 10% orange, 10% green, and 20% tan. Each piece of candy in a random

sample of 100 plain M&M’s was classified according to color, and the results are listed below.

Use a 0.05 significance level to test the claim that the published color distribution is correct.

Show all work and justify your answer.

Color

Number

Brown

42

Yellow

21

Orange

12

Green

7

Tan

18

(a) Identify the null hypothesis and the alternative hypothesis.

(b) Determine the test statistic. Show all work; writing the correct test statistic,

without supporting work, will receive no credit.

(c) Determine the P-value. Show all work; writing the correct P-value, without supporting

work, will receive no credit.

(d) Is there sufficient evidence to support the claim that the published color distribution is

correct? Justify your answer.

9.

A STAT 200 instructor believes that the average quiz score is a good predictor of final exam

score. A random sample of 5 students produced the following data where x is the average quiz

score and y is the final exam score.

x

y

(a)

(b)

80

145

50

150

60

130

100

180

70

120

Find an equation of the least squares regression line. Show all work; writing the correct

equation, without supporting work, will receive no credit.

Based on the equation from part (a), what is the predicted final exam score if the average quiz

score is 90? Show all work and justify your answer.

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