Calculus and Above

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9. What is the minimum...

9. What is the minimum sample size you should use to assure that your estimate of pq5_7 will be within the required margin of error around the population p? Margin of error: 0.005; confidence level: 99%; from a prior study, pq5_7 is estimated by 0.192. (Points : 6)

37,031

23,839

206

41,146

Question 10. 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

Question 11. 11. A laboratory tested 70 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with s = 12 milligrams. Construct a 95 percent confidence interval for the true mean cholesterol content, μ , of all such eggs. (Points : 6)

(226, 232)

(224, 231)

(224, 230)

(225, 231)

Question 12. 12. Use the confidence level and sample data to find the margin of error E: Systolic blood pressures for women aged 18-24: 94% confidence; n = 100, e3_29 = 113.8 mm Hg, sigma σ = 12.8 mm Hg. (Points : 6)

2.4 mm Hg

2.1 mm Hg

10.0 mm Hg

52.5 mm Hg

Question 13. 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

Question 14. 14. Assume that the data has a normal distribution and the number of observations is greater than fifty. Also assume that the standard deviation of the population, σ, is known. Find the critical value or values used to test a null hypothesis: pq7_1 = 0.08; H1 is μ pq7_4 3.24. (Points : 6)

1.75

e4_8 1.41

1.41

e4_8 1.75

Question 15. 15. Assume that the data has a normal distribution and the number of observations is greater than fifty. Also assume that the standard deviation of the population, σ, is known. Find the critical value or values used to test a null hypothesis: pq7_1 = 0.03; H1 is μ < 290. (Points : 6)

1.88

e4_8 2.17

e4_8 1.88

-1.88

Question 16. 16. 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 pq7_4 17, n = 20, pq7_1 = 0.10. (Points : 6)

e4_8 1.729

-1.725

e4_8 1.725

1.729

Question 17. 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.

Question 18. 18. What is the margin of error, given that 95% confidence interval; n = 12; e3_29 = 55.7, and s = 6.7? (Points : 6)

5.108

3.831

4.257

3.193

Question 19. 19. Identify the null hypothesis Ho and the alternative hypothesis H1. A researcher claims that 62% of voters favor gun control.

Ho: p < 0.62, H1: p = 0.62

Ho: p = 0.62, H1: p < 0.62

Ho: p pq7_4 0.62, H1: p = 0.62

Ho: p = 0.62, H1: p pq7_4 0.62

37,031

23,839

206

41,146

Question 10. 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

Question 11. 11. A laboratory tested 70 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with s = 12 milligrams. Construct a 95 percent confidence interval for the true mean cholesterol content, μ , of all such eggs. (Points : 6)

(226, 232)

(224, 231)

(224, 230)

(225, 231)

Question 12. 12. Use the confidence level and sample data to find the margin of error E: Systolic blood pressures for women aged 18-24: 94% confidence; n = 100, e3_29 = 113.8 mm Hg, sigma σ = 12.8 mm Hg. (Points : 6)

2.4 mm Hg

2.1 mm Hg

10.0 mm Hg

52.5 mm Hg

Question 13. 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

Question 14. 14. Assume that the data has a normal distribution and the number of observations is greater than fifty. Also assume that the standard deviation of the population, σ, is known. Find the critical value or values used to test a null hypothesis: pq7_1 = 0.08; H1 is μ pq7_4 3.24. (Points : 6)

1.75

e4_8 1.41

1.41

e4_8 1.75

Question 15. 15. Assume that the data has a normal distribution and the number of observations is greater than fifty. Also assume that the standard deviation of the population, σ, is known. Find the critical value or values used to test a null hypothesis: pq7_1 = 0.03; H1 is μ < 290. (Points : 6)

1.88

e4_8 2.17

e4_8 1.88

-1.88

Question 16. 16. 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 pq7_4 17, n = 20, pq7_1 = 0.10. (Points : 6)

e4_8 1.729

-1.725

e4_8 1.725

1.729

Question 17. 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.

Question 18. 18. What is the margin of error, given that 95% confidence interval; n = 12; e3_29 = 55.7, and s = 6.7? (Points : 6)

5.108

3.831

4.257

3.193

Question 19. 19. Identify the null hypothesis Ho and the alternative hypothesis H1. A researcher claims that 62% of voters favor gun control.

Ho: p < 0.62, H1: p = 0.62

Ho: p = 0.62, H1: p < 0.62

Ho: p pq7_4 0.62, H1: p = 0.62

Ho: p = 0.62, H1: p pq7_4 0.62

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