Question

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?

4.0, 3.2, 4.2, 4.9, 3.0, 4.4, 3.8, 4.9, 4.5, 4.1, 4.1, 4.0, 3.4, 4.2, 3.9

What is the confidence interval for the population mean μ​?

___< μ​<___. (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.We are 99​% confident that the interval from ____ to ____ actually contains the true mean evaluation rating.

​(Round to one decimal place as​ needed.)

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

C.We are confident that 99​% of all students gave evaluation ratings between ___ and ___.

Answer 1

4.0	-0.04	0.0016
3.2	-0.84	0.7056
4.2	0.16	0.0256
4.9	0.86	0.7396
3.0	-1.04	1.0816
4.4	0.36	0.1296
3.8	-0.24	0.0576
4.9	0.86	0.7396
4.5	0.46	0.2116
4.1	0.06	0.0036
4.1	0.06	0.0036
4.0	-0.04	0.0016
3.4	-0.64	0.4096
4.2	0.16	0.0256
3.9	-0.14	0.0196

Refer t-table or use excel function "=T.INV.2T(0.01,14)" to find the critical value of t.

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