A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found to be 16.5, and the sample standard deviation, s, is found to be 5.4. (a) Construct a 95% confidence interval about mu if the sample size, n, is 32. (b) Construct a 95% confidence interval about mu if the sample size, n, is 64. How does increasing the sample size affect the margin of error, E? (c) Construct a 96% confidence interval about mu if the sample size, n, is 32. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 25, what conditions must be satisfied to compute the confidence interval? Question content area bottom Part 1 (a) Construct a 95% confidence interval about mu if the sample size, n, is 32. Lower bound: 14.56; Upper bound: 18.45 (Round to two decimal places as needed.) Part 2 (b) Construct a 95% confidence interval about mu if the sample size, n, is 64. Lower bound: 15.15; Upper bound: 17.85 (Round to two decimal places as needed.) Part 3 How does increasing the sample size affect the margin of error, E? A. The margin of error decreases. Your answer is correct.B. The margin of error does not change. C. The margin of error increases. Part 4 (c) Construct a 96% confidence interval about mu if the sample size, n, is 32. Lower bound: enter your response here; Upper bound: enter your response here (Round to two dec