Question

The recommended number of hours of sleep per night is 8 hours, but everybody "knows" that the average college student sleeps less than 7 hours. The number of hours slept last night by 10 randomly selected college students is listed below. Complete the following hypothesis test: H_o: μ = 7, H_a: μ < 7, α = 0.05.

7.9

6.2

6.8

7

6.9

5.6

5.2

5.7

7.3

5.5

(a) Find t. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

(b) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence that the mean is less than 7.Reject the null hypothesis, there is significant evidence that the mean is less than 7.    Fail to reject the null hypothesis, there is not significant evidence that the mean is less than 7.Fail to reject the null hypothesis, there is significant evidence that the mean is less than 7.

Answer 1

The statistical software output for this problem is :

Test statistics = t = -2.08

P-value = 0.0337

Reject the null hypothesis, there is significant evidence that the mean is less than 7