Question

Some faculty believe that college students get less than 7 hours of sleep per night on average. A survey of 30 students found an average of 6.5 hours of sleep with a standard deviation of 1.8 hours. Are the faculty justified in their belief? Test this hypothesis at the 5% significance level.

State the Null Hypothesis, Alternative Hypothesis, and the p-value for the hypothesis test.

Then state your Decision (Reject H0 or Do Not Reject H0) and your Conclusion.

Answer 1

Solution :

= 7

=6.5

S =1.8

n = 30

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 7

Ha : < 7

Test statistic = t

= ( - ) / S / n

= (6.5-7) / 1.8 / 30

= -1.521

Test statistic = t = -1.521

P-value =0.0695

= 0.05  

P-value >

0.0695 > 0.05

Do Not Reject the null hypothesis .

There is not sufficient evidence to suggest that