Question 17 options: It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data.

sleep hours data. xlsx (8.6
8.3
7.6
6
7.1
5.6
5.1
6

Compute a 92% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 92 % confidence that the true mean time a student sleeps per night is between

We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).

Step-by-step explanation:

Compute the sample mean and sample standard deviation as follows:

Since, the sample standard deviation is computed the t-statistics will be used for the confidence interval.

The critical value of t for (n - 1) degrees of freedom and 92% confidence level is:

*Use a t-table.

Compute the 92% confidence interval for the true mean time a student sleeps per night as follows:

We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).