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In: Statistics and Probability

Listed below are student evaluation ratings of​ courses, where a rating of 5 is for​ "excellent."...

Listed below are student evaluation ratings of​ courses, where a rating of 5 is for​ "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 99​% confidence level. What does the confidence interval tell about the population of all college students in the​ state?

3.5​, 2.8​, 3.9​, 4.6​, 3.1​, 4.4​, 3.5​, 4.6​, 4.8​, 4.3​, 4.3​, 3.9​, 3.1​, 3.8​, 3.9

What is the confidence interval for the population mean mu​? ​(Round to two decimal places as​ needed.)

What does the confidence interval tell about the population of all college students in the​ state? Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice.

A. The results tell nothing about the population of all college students in the​ state, since the sample is from only one university.

B. We are 99​% confident that the interval from nothing to nothing actually contains the true mean evaluation rating. ​(Round to one decimal place as​ needed.)

C. We are confident that 99​% of all students gave evaluation ratings between nothing and nothing. ​(Round to one decimal place as​ needed.)

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