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1. The lengths of human...

1. The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days? (Points : 6)

0.4834

0.0166

0.0179

0.9834

2. If Z is a standard normal variable, what is the probability P(-0.73 < Z < 2.27)? (Points : 6)

0.4884

0.7557

1.54

0.2211

3. Assume that all the temperature readings have a standard normal distribution with the mean reading of 0 degree C and the standard deviation of 1.00 degree C. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. What is the reading that separates the bottom 4% from the others? (Points : 6)

-1.89 degree

-1.48 degree

-1.75 degree

-1.63 degree

4. The following confidence interval is obtained for a population proportion, p:(0.853, 0.883). What is the point estimate, ? (Points : 6)

0.868

0.871

0.883

0.853

5. Express the confidence interval -0.2 < p < 1.2 in the form of . (Points : 6)

0.5 0.7

0.7 0.4

0.5 0.4

0.7 0.2

6. Of 100 adults selected randomly from one town, 62 have health insurance. What is the 90% confidence interval for the true proportion of all adults in the town who have health insurance? (Points : 6)

0.495 < p < 0.745

0.540 < p < 0.700

0.525 < p < 0.715

0.507 < p < 0.733

7. What is the margin of error for the 95% confidence interval used to estimate the population proportion, given that n = 260 and x = 70? (Points : 6)

0.0539

0.0566

0.0485

0.0647

8. What is the minimum sample size you should use to assure that your estimate of will be within the required margin of error around the population p? Margin of error: 0.007; confidence level: 99%; are unknown. (Points : 6)

184

33,830

135,319

541,276

9. What is the minimum sample size you should use to assure that your estimate of will be within the required margin of error around the population p? Margin of error: 0.045; confidence level: 96%; are unknown. (Points : 6)

12

24

519

23

10. 268 people were asked if they were satisfied with their jobs. 49% said they were. Ho: p = 0.33. Confidence level: 98%. What is the value of the appropriate test statistic used to test the null hypothesis? (Points : 6)

0.340

4.125

2.612

5.570

11. Use the confidence level and sample data to find the margin of error E: The duration of telephone calls directed by a local telephone company: sigma σ = 3.7 minutes, n = 540, 92 percent confidence. (Points : 6)

0.012 minutes

0.006 minutes

0.279 minutes

0.091 minutes

12. A random sample of 100 full-grown lobsters had a mean weight of 24 ounces and a standard deviation of s=3 ounces. Construct a 98 percent confidence interval for the population mean μ.

A) 23 <μ < 26

B) 23 <μ < 25

C) 24 <μ < 26

D) 22 <μ < 24 (Points : 6)

Please refer to answer choice a above.

Please refer to answer choice b above.

Please refer to answer choice c above.

Please refer to answer choice d above.

13. Use the margin of error, confidence level, and standard deviation σ to find the minimum sample size required to estimate an unknown population mean μ: Margin of error: $132, confidence level: 95%, σ = $577. (Points : 6)

65

2

74

4

14. Do one of the following, as appropriate: Find the critical value , find the critical value , or state that neither the normal nor the t distribution applies. 90% level of significance; n =9; sigma σ = 4.2; population appears to be very skewed.

A) = 2.33

B) = 2.90

C) = 1.645

D) Neither the normal nor the t distribution applies. (Points : 6)

Please refer to answer choice A) above.

Please refer to answer choice B) above.

Please refer to answer choice C) above.

Please refer to answer choice D) above.

15. Find the critical value or values for the given hypothesis, sample size, and significance level. Assume that the standard deviation of the population, σ, is unknown.

H1: μ 62.4. (Points : 6)

1.81

1.48

-1.48

1.81

17. 31 randomly selected students took the calculus final. If the sample mean was 82 and the standard deviation was s=14.2, construct a 99 percent confidence interval for the mean score of all students.

74.99 < μ < 89.01

74.85 < μ < 89.15

75.62 < μ < 88.38

77.60 < μ < 86.40

(Points : 6)

Please refer to answer choice a. above.

Please refer to answer choice b. above.

Please refer to answer choice c. above.

Please refer to answer choice d. above.

18. What is the margin of error, given that 95% confidence interval; n = 12; = 55.7, and s = 6.7? (Points : 6)

5.108

3.831

4.257

3.193

19. Identify the null hypothesis Ho and the alternative hypothesis H1. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the = 3.3 mg claimed by the manufacturer.

Ho: σ l 3.3 mg, H1: σ = 3.3 mg

Ho: σ = 3.3 mg, H1: σ 3.3 mg

Ho: σ = 3.3 mg, H1: σ 3.3 mg

(Points : 6)

Please refer to answer choice a. above.

Please refer to answer choice b. above.

Please refer to answer choice c. above.

Please refer to answer choice d. above.

20. Identify the null hypothesis Ho and the alternative hypothesis H1. The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by sigma σ = 14.7.

Ho: σ > 14.7, H1: σ = 14.7

Ho: σ = 14.7, H1: σ 14.7

Ho: σ 14.7

(Points : 6)

Please refer to answer choice a. above.

Please refer to answer choice b. above.

Please refer to answer choice c. above.

Please refer to answer choice d. above.

21. A chicken farmer in Grayslake claims that his chickens have a mean weight of 58 ounces. The farmer takes a random sample of 36 chickens and finds a mean weight of 59.2 ounces and a standard deviation of 3 ounces. In a hypothesis test, what criterion would be used for rejecting the farmer's claim at the 10 percent level of significance? Assume that the standard deviation of the population, sigma, is known. (Points : 6)

Reject Ho that µ = 58 ounces if test statistic > 1.28 or 1.28.

Reject Ho that µ = 58 ounces if test statistic > 1.645 or 1.645.

22. The principal of a middle school claims that the mean test score of the seventh-graders at his school is higher than 72.1. You wish to test this claim at the 0.05 level of significance. The mean score for a random sample of 100 seventh-graders is 75.7 with a standard deviation of 15.2. What criterion would be used for rejecting the null hypothesis, given the claim that µ > 72.1? Assume that the standard deviation of the population, sigma, is known. (Points : 6)

Reject Ho if test statistic > 1.645.

Reject Ho if test statistic > 1.96 or 1.96.

Reject Ho if test statistic < 1.645.

23. You wish to test the claim that μ = 74.1 at the = 0.01 significance level. In a sample of n = 14, the sample mean is 76.6 and the standard deviation of the sample is s=5. What is the value of the appropriate test statistic? (Points : 6)

7.00

-1.87

1.87

0.50

24. What is the value of the linear correlation coefficient r?

(Points : 6)

0

-0.632

0.632

0.562

25. Find the value of the linear correlation coefficient r. The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters):

(Points : 6)

0.256

-0.210

0

0.196

0.4834

0.0166

0.0179

0.9834

2. If Z is a standard normal variable, what is the probability P(-0.73 < Z < 2.27)? (Points : 6)

0.4884

0.7557

1.54

0.2211

3. Assume that all the temperature readings have a standard normal distribution with the mean reading of 0 degree C and the standard deviation of 1.00 degree C. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. What is the reading that separates the bottom 4% from the others? (Points : 6)

-1.89 degree

-1.48 degree

-1.75 degree

-1.63 degree

4. The following confidence interval is obtained for a population proportion, p:(0.853, 0.883). What is the point estimate, ? (Points : 6)

0.868

0.871

0.883

0.853

5. Express the confidence interval -0.2 < p < 1.2 in the form of . (Points : 6)

0.5 0.7

0.7 0.4

0.5 0.4

0.7 0.2

6. Of 100 adults selected randomly from one town, 62 have health insurance. What is the 90% confidence interval for the true proportion of all adults in the town who have health insurance? (Points : 6)

0.495 < p < 0.745

0.540 < p < 0.700

0.525 < p < 0.715

0.507 < p < 0.733

7. What is the margin of error for the 95% confidence interval used to estimate the population proportion, given that n = 260 and x = 70? (Points : 6)

0.0539

0.0566

0.0485

0.0647

8. What is the minimum sample size you should use to assure that your estimate of will be within the required margin of error around the population p? Margin of error: 0.007; confidence level: 99%; are unknown. (Points : 6)

184

33,830

135,319

541,276

9. What is the minimum sample size you should use to assure that your estimate of will be within the required margin of error around the population p? Margin of error: 0.045; confidence level: 96%; are unknown. (Points : 6)

12

24

519

23

10. 268 people were asked if they were satisfied with their jobs. 49% said they were. Ho: p = 0.33. Confidence level: 98%. What is the value of the appropriate test statistic used to test the null hypothesis? (Points : 6)

0.340

4.125

2.612

5.570

11. Use the confidence level and sample data to find the margin of error E: The duration of telephone calls directed by a local telephone company: sigma σ = 3.7 minutes, n = 540, 92 percent confidence. (Points : 6)

0.012 minutes

0.006 minutes

0.279 minutes

0.091 minutes

12. A random sample of 100 full-grown lobsters had a mean weight of 24 ounces and a standard deviation of s=3 ounces. Construct a 98 percent confidence interval for the population mean μ.

A) 23 <μ < 26

B) 23 <μ < 25

C) 24 <μ < 26

D) 22 <μ < 24 (Points : 6)

Please refer to answer choice a above.

Please refer to answer choice b above.

Please refer to answer choice c above.

Please refer to answer choice d above.

13. Use the margin of error, confidence level, and standard deviation σ to find the minimum sample size required to estimate an unknown population mean μ: Margin of error: $132, confidence level: 95%, σ = $577. (Points : 6)

65

2

74

4

14. Do one of the following, as appropriate: Find the critical value , find the critical value , or state that neither the normal nor the t distribution applies. 90% level of significance; n =9; sigma σ = 4.2; population appears to be very skewed.

A) = 2.33

B) = 2.90

C) = 1.645

D) Neither the normal nor the t distribution applies. (Points : 6)

Please refer to answer choice A) above.

Please refer to answer choice B) above.

Please refer to answer choice C) above.

Please refer to answer choice D) above.

15. Find the critical value or values for the given hypothesis, sample size, and significance level. Assume that the standard deviation of the population, σ, is unknown.

H1: μ 62.4. (Points : 6)

1.81

1.48

-1.48

1.81

17. 31 randomly selected students took the calculus final. If the sample mean was 82 and the standard deviation was s=14.2, construct a 99 percent confidence interval for the mean score of all students.

74.99 < μ < 89.01

74.85 < μ < 89.15

75.62 < μ < 88.38

77.60 < μ < 86.40

(Points : 6)

Please refer to answer choice a. above.

Please refer to answer choice b. above.

Please refer to answer choice c. above.

Please refer to answer choice d. above.

18. What is the margin of error, given that 95% confidence interval; n = 12; = 55.7, and s = 6.7? (Points : 6)

5.108

3.831

4.257

3.193

19. Identify the null hypothesis Ho and the alternative hypothesis H1. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the = 3.3 mg claimed by the manufacturer.

Ho: σ l 3.3 mg, H1: σ = 3.3 mg

Ho: σ = 3.3 mg, H1: σ 3.3 mg

Ho: σ = 3.3 mg, H1: σ 3.3 mg

(Points : 6)

Please refer to answer choice a. above.

Please refer to answer choice b. above.

Please refer to answer choice c. above.

Please refer to answer choice d. above.

20. Identify the null hypothesis Ho and the alternative hypothesis H1. The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by sigma σ = 14.7.

Ho: σ > 14.7, H1: σ = 14.7

Ho: σ = 14.7, H1: σ 14.7

Ho: σ 14.7

(Points : 6)

Please refer to answer choice a. above.

Please refer to answer choice b. above.

Please refer to answer choice c. above.

Please refer to answer choice d. above.

21. A chicken farmer in Grayslake claims that his chickens have a mean weight of 58 ounces. The farmer takes a random sample of 36 chickens and finds a mean weight of 59.2 ounces and a standard deviation of 3 ounces. In a hypothesis test, what criterion would be used for rejecting the farmer's claim at the 10 percent level of significance? Assume that the standard deviation of the population, sigma, is known. (Points : 6)

Reject Ho that µ = 58 ounces if test statistic > 1.28 or 1.28.

Reject Ho that µ = 58 ounces if test statistic > 1.645 or 1.645.

22. The principal of a middle school claims that the mean test score of the seventh-graders at his school is higher than 72.1. You wish to test this claim at the 0.05 level of significance. The mean score for a random sample of 100 seventh-graders is 75.7 with a standard deviation of 15.2. What criterion would be used for rejecting the null hypothesis, given the claim that µ > 72.1? Assume that the standard deviation of the population, sigma, is known. (Points : 6)

Reject Ho if test statistic > 1.645.

Reject Ho if test statistic > 1.96 or 1.96.

Reject Ho if test statistic < 1.645.

23. You wish to test the claim that μ = 74.1 at the = 0.01 significance level. In a sample of n = 14, the sample mean is 76.6 and the standard deviation of the sample is s=5. What is the value of the appropriate test statistic? (Points : 6)

7.00

-1.87

1.87

0.50

24. What is the value of the linear correlation coefficient r?

(Points : 6)

0

-0.632

0.632

0.562

25. Find the value of the linear correlation coefficient r. The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters):

(Points : 6)

0.256

-0.210

0

0.196

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