in 1530 10 Question 2, 9.2.17 < > HW Score: 7.64%, 0.61 of 8 points Part 4 of 6 Points: 0.11 of 1 Save in 1530 in 1530 A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 115, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about μ if the sample size, n, is 14. (b) Construct an 80% confidence interval about μ if the sample size, n, is 22. H (c) Construct a 90% confidence interval about μ if the sample size, n, is 14. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. Lower bound: 111.4; Upper bound: 118.6 (Use ascending order. Round to one decimal place as needed.) (b) Construct an 80% confidence interval about if the sample size, n, is 22. Lower bound: 112.2 ; Upper bound: 117.8 (Use ascending order. Round to one decimal place as needed.) How does increasing the sample size affect the margin of error, E? A. As the sample size increases, the margin of error decreases. B. As the sample size increases, the margin of error stays the same. C. As the sample size increases, the margin of error increases. (c) Construct a 90% confidence interval about μ if the sample size, n, is 14. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) xample Textbook Clear all Check answer in 1530 Incor

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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found
to be 115, and the sample standard deviation, s, is found to be 10.
(a) Construct an 80% confidence interval about μ if the sample size, n, is 14.
(b) Construct an 80% confidence interval about μ if the sample size, n, is 22.
H
(c) Construct a 90% confidence interval about μ if the sample size, n, is 14.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Click the icon to view the table of areas under the t-distribution.
Lower bound: 111.4; Upper bound: 118.6
(Use ascending order. Round to one decimal place as needed.)
(b) Construct an 80% confidence interval about if the sample size, n, is 22.
Lower bound: 112.2 ; Upper bound: 117.8
(Use ascending order. Round to one decimal place as needed.)
How does increasing the sample size affect the margin of error, E?
A. As the sample size increases, the margin of error decreases.
B. As the sample size increases, the margin of error stays the same.
C. As the sample size increases, the margin of error increases.
(c) Construct a 90% confidence interval about μ if the sample size, n, is 14.
Lower bound: ; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
xample Textbook
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Transcribed Image Text:in 1530 10 Question 2, 9.2.17 < > HW Score: 7.64%, 0.61 of 8 points Part 4 of 6 Points: 0.11 of 1 Save in 1530 in 1530 A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 115, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about μ if the sample size, n, is 14. (b) Construct an 80% confidence interval about μ if the sample size, n, is 22. H (c) Construct a 90% confidence interval about μ if the sample size, n, is 14. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. Lower bound: 111.4; Upper bound: 118.6 (Use ascending order. Round to one decimal place as needed.) (b) Construct an 80% confidence interval about if the sample size, n, is 22. Lower bound: 112.2 ; Upper bound: 117.8 (Use ascending order. Round to one decimal place as needed.) How does increasing the sample size affect the margin of error, E? A. As the sample size increases, the margin of error decreases. B. As the sample size increases, the margin of error stays the same. C. As the sample size increases, the margin of error increases. (c) Construct a 90% confidence interval about μ if the sample size, n, is 14. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) xample Textbook Clear all Check answer in 1530 Incor
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