A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, X, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about µ if the sample size, n, is 13. (b) Construct a 96% confidence interval about μ if the sample size, n, is 29. (c) Construct a 99% confidence interval about μ if the sample size, n, is 13. (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. 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? A. As the level of confidence increases, the size of the interval increases. OB. As the level of confidence increases, the size of the interval decreases. OC. As the level of confidence increases, the size of the interval stays the same. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? O A. Yes, the population does not need to be normally distributed. O B. Yes, the population needs to be normally distributed. OC. No, the population does not need to be normally distributed. O D. No, the population needs to be normally distributed.

For each example, choose the confidence interval that has a larger margin of error. 1) OA 90% confidence interval for a mean contructed from a sample of 55 OA 90% confidence interval for a mean contructed from a sample of 45 2) OA 90% confidence interval for a mean constructed from a sample of 45 OA 92% confidence interval for a mean constructed from a sample of 45 3) OA 90% confidence interval for a mean constructed from a sample of 45, using s OA 90% confidence interval for a mean constructed from a sample of 45, using o

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 25. ​(b) Construct an 80​% confidence interval about μ if the sample​ size, n, is 12. ​(c) Construct a 70​% confidence interval about μ if the sample​ size, n, is 25. ​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed?

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about μ if the sample size, n, is 16. (b) Construct a 98% confidence interval about µ if the sample size, n, is 12. (c) Construct a 70% confidence interval about u if the sample size, n, is 16. (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. (a) Construct a 98% confidence interval about μ if the sample size, n, is 16. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.)