Question 5, 9.2.17-T HW Score: 63.74%, 12.75 of 20 points Part 4 of 6 Points: 0.56 of 1 Save A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 100, and the sample standard deviation, s, is found to be 12. (a) Construct a 95% confidence interval about u if the sample size, n, is 23. (b) Construct a 95% confidence interval about u if the sample size, n, is 15. (c) Construct a 90% confidence interval about u if the sample size, n, is 23. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 95% confidence interval about u if the sample size, n, is 23. Lower bound: 94.8 ; Upper bound: 105.2 (Round to one decimal place as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 15. Lower bound: 93.4 ; Upper bound: 106.6 'Round to one decimal place as needed.) How does decreasing the sample size affect the margin of error, E? O A. As the sample size decreases, the margin of error stays the same. O B. As the sample size decreases, the margin of error decreases. C. As the sample size decreases, the margin of error increases. (c) Construct a 90% confidence interval about u if the sample size, n, is 23. Lower bound: ; Upper bound: (Round to one decimal place as needed.)