A. A physician with a practice is currently serving 300 patients. The physician would like to administer a survey to his patients to measure their satisfaction level with his practice. A random sample of 25 patients had an average satisfaction score of 8.1 on a scale of​ 1-10. The sample standard deviation was 1.8.

Construct a​ 99% confidence interval to estimate the average satisfaction score for the​ physician's practice. The​ 99% confidence interval to estimate the average satisfaction score is? (_,_) What assumption needs to be made for this​ analysis?

B.

A university would like to estimate the proportion of fans who purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3,600 and is routinely sold out. It was discovered that a total of 210 fans out of a random sample of 500 purchased concessions during the game. Construct a​ 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.

The​ 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is (_,_)

C.

Construct a​ 95% confidence interval to estimate the population proportion using the data below.

x=29

n=95

N=500

The​ 95% confidence interval for the population proportion is (_,_)