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1. 36 randomly picked people...

1. 36 randomly picked people were asked if they rented or owned their own home, 10 said they rented. What is the point estimate of the true proportion of home owners? (Points : 6)

0.722

0.217

0.278

0.750

2. The following confidence interval is obtained for a population proportion, p:0.556 < p < 0.584. What is the point estimate, ? (Points : 6)

0.576

0.556

0.570

0.564

3. The following confidence interval is obtained for a population proportion, p:0.332 < p < 0.372. What is the margin of error, E? (Points : 6)

0.040

0.352

0.020

0.021

4. What is the critical value that corresponds to a level of confidence of 98%? (Points : 6)

2.575

1.75

2.05

2.33

5. Use the given level of confidence and sample data to construct a confidence interval for the population proportion p. A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. (Points : 6)

0.435 < p < 0.508

0.438 < p < 0.505

0.471 < p < 0.472

0.444 < p < 0.500

6. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p: n = 105, x = 67; 88 percent. (Points : 6)

0.561 < p < 0.715

0.565 < p < 0.711

0.660 < p < 0.816

0.570 < p < 0.706

7. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p: n = 69, x = 12; 95 percent. (Points : 6)

0.099 < p < 0.249

0.085 < p < 0.263

0.090 < p < 0.258

0.080 < p < 0.268

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: 0.018; confidence level: 99%; and are unknown. (Points : 6)

36

72

1

5117

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: 0.04; confidence level: 95%; from a prior study, is estimated by the decimal equivalent of 61%. (Points : 6)

572

1465

987

515

10. Use the confidence level and sample data to find the margin of error E.

College students' annual earnings: 99% confidence; n = 68, = $4156, sigma σ = $839. (Points : 7)

$262

$8

$1298

$237

11. Use the confidence level and sample data to find a confidence interval for estimating the

population μ. Test scores: n = 83, = 53.1, sigma σ = 7.3; 98 percent.

51.0 < μ < 55.2

51.8 < μ < 54.4

51.5 < μ < 54.7

51.2 < μ < 55.0

(Points : 7)

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.

12. 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. 91% level of confidence; n = 45; sigma σ is known; population appears to be very skewed.

= 1.75

= 1.70

= 1.34

= 1.645

(Points : 7)

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.

Neither the normal nor the t distribution applies

13. Use the given level of confidence and sample data to construct a confidence interval for the

population mean μ. Assume that the population has a normal distribution. =84.9, n= 30, s = 5.2, 90 percent.

82.96 < μ < 86.84

83.34 < μ < 86.46

83.29 < μ < 86.51

83.04 < μ < 86.76

(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.

14. A laboratory tested 61 chicken eggs and found that the mean amount of cholesterol was 247 milligrams with s = 15.2 milligrams. Construct a 95 percent confidence interval for the true mean cholesterol content, μ, of all such eggs.

243 < μ < 249

243 < μ < 251

244 < μ < 250

245 < μ < 251

(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 margin of error given 95% confidence interval; n = 21; = 0.46; s = 0.46. (Points : 6)

0.082

0.103

0.078

0.209

16. 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: $125, confidence

2

68

5

59

0.722

0.217

0.278

0.750

2. The following confidence interval is obtained for a population proportion, p:0.556 < p < 0.584. What is the point estimate, ? (Points : 6)

0.576

0.556

0.570

0.564

3. The following confidence interval is obtained for a population proportion, p:0.332 < p < 0.372. What is the margin of error, E? (Points : 6)

0.040

0.352

0.020

0.021

4. What is the critical value that corresponds to a level of confidence of 98%? (Points : 6)

2.575

1.75

2.05

2.33

5. Use the given level of confidence and sample data to construct a confidence interval for the population proportion p. A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. (Points : 6)

0.435 < p < 0.508

0.438 < p < 0.505

0.471 < p < 0.472

0.444 < p < 0.500

6. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p: n = 105, x = 67; 88 percent. (Points : 6)

0.561 < p < 0.715

0.565 < p < 0.711

0.660 < p < 0.816

0.570 < p < 0.706

7. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p: n = 69, x = 12; 95 percent. (Points : 6)

0.099 < p < 0.249

0.085 < p < 0.263

0.090 < p < 0.258

0.080 < p < 0.268

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: 0.018; confidence level: 99%; and are unknown. (Points : 6)

36

72

1

5117

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: 0.04; confidence level: 95%; from a prior study, is estimated by the decimal equivalent of 61%. (Points : 6)

572

1465

987

515

10. Use the confidence level and sample data to find the margin of error E.

College students' annual earnings: 99% confidence; n = 68, = $4156, sigma σ = $839. (Points : 7)

$262

$8

$1298

$237

11. Use the confidence level and sample data to find a confidence interval for estimating the

population μ. Test scores: n = 83, = 53.1, sigma σ = 7.3; 98 percent.

51.0 < μ < 55.2

51.8 < μ < 54.4

51.5 < μ < 54.7

51.2 < μ < 55.0

(Points : 7)

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.

12. 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. 91% level of confidence; n = 45; sigma σ is known; population appears to be very skewed.

= 1.75

= 1.70

= 1.34

= 1.645

(Points : 7)

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.

Neither the normal nor the t distribution applies

13. Use the given level of confidence and sample data to construct a confidence interval for the

population mean μ. Assume that the population has a normal distribution. =84.9, n= 30, s = 5.2, 90 percent.

82.96 < μ < 86.84

83.34 < μ < 86.46

83.29 < μ < 86.51

83.04 < μ < 86.76

(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.

14. A laboratory tested 61 chicken eggs and found that the mean amount of cholesterol was 247 milligrams with s = 15.2 milligrams. Construct a 95 percent confidence interval for the true mean cholesterol content, μ, of all such eggs.

243 < μ < 249

243 < μ < 251

244 < μ < 250

245 < μ < 251

(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 margin of error given 95% confidence interval; n = 21; = 0.46; s = 0.46. (Points : 6)

0.082

0.103

0.078

0.209

16. 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: $125, confidence

2

68

5

59

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