Question

Sleep – College Students (Raw Data, Software Required): Suppose you perform a study about the hours of sleep that college students get. You know that for all people, the average is about 7.0 hours per night. You randomly select 35 college students and survey them on the number of hours of sleep they get per night. The data is found in the table below. You want to construct a 99% confidence interval for the mean hours of sleep for all college students. You will need software to answer these questions. You should be able to copy the data directly from the table into your software program.

Student	Sleep
1	5.0
2	6.6
3	7.3
4	6.4
5	7.3
6	4.6
7	7.8
8	5.7
9	8.7
10	4.8
11	3.6
12	4.8
13	5.3
14	9.3
15	9.9
16	6.5
17	8.8
18	5.1
19	4.7
20	7.0
21	5.0
22	7.4
23	4.4
24	7.5
25	5.7
26	5.8
27	7.3
28	6.4
29	6.1
30	7.6
31	7.1
32	9.7
33	7.3
34	7.1
35	5.2

(a) What is the point estimate for the mean nightly hours of sleep for all college students? Round your answer to 2 decimal places.

(b) Construct the 99% confidence interval for the mean nightly hours of sleep for all college students. Round your answers to 2 decimal places.

Are you 99% confident that the mean nightly hours of sleep for all college students is below the average for all people of 7.0 hours per night? Why or why not?

Yes, because 7.0 is above the upper limit of the confidence interval for college students.

No, because 7.0 is below the upper limit of the confidence interval for college students.    

Yes, because 7.0 is below the upper limit of the confidence interval for college students.

No, because 7.0 is above the upper limit of the confidence interval for college students.

Answer 1

Solution: We can use excel to find the 99% confidence interval for the mean nightly hours of sleep for all college students. The excel output is given below:

(a) What is the point estimate for the mean nightly hours of sleep for all college students? Round your answer to 2 decimal places.

Answer:
(b) Construct the 99% confidence interval for the mean nightly hours of sleep for all college students. Round your answers to 2 decimal places.

Answer:

Are you 99% confident that the mean nightly hours of sleep for all college students is below the average for all people of 7.0 hours per night? Why or why not?

Answer: No, because 7.0 is below the upper limit of the confidence interval for college students.