A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 105, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about u if the sample size, n, is 26. (b) Construct a 98% confidence interval about u if the sample size, n, is 20. (c) Construct an 80% confidence interval about u if the sample size, n, is 26. (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 u if the sample size, n, is 26. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.) (b) Construct a 98% confidence interval about u if the sample size, n, is 20. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.) How does decreasing the sample size affect the margin of error, E? Click to select your answer(s). P Type here to search ASUS $11 112 enod bre f8 f9 f10 f5 f6 f7 f2 13 f4 f1 esc %23 %24 A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 105, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about u if the sample size, n, is 26. (b) Construct a 98% confidence interval about u if the sample size, n, is 20. (c) Construct an 80% confidence interval about u if the sample size, n, is 26. (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. As the sample size decreases, the margin of error stays the same. B. As the sample size decreases, the margin of error decreases. C. As the sample size decreases, the margin of error increases. (c) Construct an 80% confidence interval about p if the sample size, n, is 26. 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 decreasing the level of confidence affect the size of the margin of error, E? Click to select your answer(s). P Type here to search MATH ASUS 12 snod bre 19 f10 f11 f7 f8 f4 f5 f6 [X) f1 f2 f3 esc V. &