Parameter Estimation + Confidence Interval + Margin of Error Means when o is known Problem#2 23. A simple random sample of size n is drawn from a popula- tion that is normally distributed with population standard deviation, o, known to be 13. The sample mean, x, is found to be 108. (a) Compute the 96% confidence interval for if the sample size, n, is 25. (b) Compute the 96% confidence interval for u if the sample size, n, is 10. How does decreasing the sample size affect the margin of error, E? (c) Compute the 88% confidence interval for if the sample size, n, is 25. Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E? (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Why? (e) If an analysis of the sample data revealed three outliers greater than the mean, how would this affect the confi- dence interval? (a) 102.67 113.33 (b) 99.57 116.42 (c) 103.96 112.04 (d) Yes (e) CI will shift
Parameter Estimation + Confidence Interval + Margin of Error Means when o is known Problem#2 23. A simple random sample of size n is drawn from a popula- tion that is normally distributed with population standard deviation, o, known to be 13. The sample mean, x, is found to be 108. (a) Compute the 96% confidence interval for if the sample size, n, is 25. (b) Compute the 96% confidence interval for u if the sample size, n, is 10. How does decreasing the sample size affect the margin of error, E? (c) Compute the 88% confidence interval for if the sample size, n, is 25. Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E? (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Why? (e) If an analysis of the sample data revealed three outliers greater than the mean, how would this affect the confi- dence interval? (a) 102.67 113.33 (b) 99.57 116.42 (c) 103.96 112.04 (d) Yes (e) CI will shift
Operations Research : Applications and Algorithms
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ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter12: Review Of Calculus And Probability
Section12.7: Z-transforms
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![Parameter Estimation + Confidence Interval + Margin of Error
Means when σ is known
Problem#2
23. A simple random sample of size n is drawn from a popula-
tion that is normally distributed with population standard
deviation, o, known to be 13. The sample mean, x, is found
to be 108.
(a) Compute the 96% confidence interval for
size, n, is 25.
(b) Compute the 96% confidence interval for if the sample
size, n, is 10. How does decreasing the sample size affect
the margin of error, E?
if the sample
(c) Compute the 88% confidence interval for if the sample
size, n, is 25. Compare the results to those obtained in
part (a). How does decreasing the level of confidence affect
the size of the margin of error, E?
(d) Could we have computed the confidence intervals in
parts (a)-(c) if the population had not been normally
distributed? Why?
(e) If an analysis of the sample data revealed three outliers
greater than the mean, how would this affect the confi-
dence interval?
(a) 102.67 113.33
(b) 99.57 116.42
(c) 103.96-112.04
(d) Yes
(e) CI will shift](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75d451d4-8631-47c4-96fa-d3dc34739cc7%2F1e07ff06-53ed-4eba-9494-c2ea51436b71%2F74vv2el_processed.png&w=3840&q=75)
Transcribed Image Text:Parameter Estimation + Confidence Interval + Margin of Error
Means when σ is known
Problem#2
23. A simple random sample of size n is drawn from a popula-
tion that is normally distributed with population standard
deviation, o, known to be 13. The sample mean, x, is found
to be 108.
(a) Compute the 96% confidence interval for
size, n, is 25.
(b) Compute the 96% confidence interval for if the sample
size, n, is 10. How does decreasing the sample size affect
the margin of error, E?
if the sample
(c) Compute the 88% confidence interval for if the sample
size, n, is 25. Compare the results to those obtained in
part (a). How does decreasing the level of confidence affect
the size of the margin of error, E?
(d) Could we have computed the confidence intervals in
parts (a)-(c) if the population had not been normally
distributed? Why?
(e) If an analysis of the sample data revealed three outliers
greater than the mean, how would this affect the confi-
dence interval?
(a) 102.67 113.33
(b) 99.57 116.42
(c) 103.96-112.04
(d) Yes
(e) CI will shift
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