struct a 95% confidence interval about u if the sample size, n, is 26. struct a 96% confidence interval about μ if the sample size, n, is 21. ck the icon to view the table of areas under the t-distribution. struct a 95% confidence interval about µ if the sample size, n, is 21. ound:: Upper bound: cending order. Round to one decimal place as needed.) struct a 95% confidence interval about μ if the sample size, n, is 26. ound:; Upper bound: cending order. Round to one decimal place as needed.) es increasing the sample size affect the margin of error, E? As the sample size increases, the margin of error stays the same. As the sample size increases, the margin of error decreases. As the sample size increases, the margin of error increases. struct a 96% confidence interval about μ if the sample size, n, is 21. ound:: Upper bound: cending order. Round to one decimal place as needed.) e the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin

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A. As the level of confidence increases, the size of the interval increases.
B. As the level of confidence increases, the size of the interval decreases.
C. As the level of confidence increases, the size of the interval stays the same.
Transcribed Image Text:A. As the level of confidence increases, the size of the interval increases. B. As the level of confidence increases, the size of the interval decreases. C. As the level of confidence increases, the size of the interval stays the same.
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10.
(a) Construct a 95% confidence interval about µ if the sample size, n, is 21.
μ
(b) Construct a 95% confidence interval about µ if the sample size, n, is 26.
μ
μ
(c) Construct a 96% confidence interval about µ if the sample size, n, is 21.
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 95% confidence interval about μ if the sample size, n, is 21.
Lower bound:; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
(b) Construct a 95% confidence interval about u if the sample size, n, is 26.
Lower bound:; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
How does increasing the sample size affect the margin of error, E?
...
O A. As the sample size increases, the margin of error stays the same.
B. As the sample size increases, the margin of error decreases.
C. As the sample size increases, the margin of error increases.
(c) Construct a 96% confidence interval about u if the sample size, n, is 21.
Lower bound: ; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E?
Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about µ if the sample size, n, is 21. μ (b) Construct a 95% confidence interval about µ if the sample size, n, is 26. μ μ (c) Construct a 96% confidence interval about µ if the sample size, n, is 21. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about μ if the sample size, n, is 21. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 26. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.) How does increasing the sample size affect the margin of error, E? ... O A. As the sample size increases, the margin of error stays the same. B. As the sample size increases, the margin of error decreases. C. As the sample size increases, the margin of error increases. (c) Construct a 96% confidence interval about u if the sample size, n, is 21. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E?
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