Question

Using data on all freshman at KU last fall, KU reported that the mean amount of time spent volunteering in the year prior to attending KU was 43.6. A simple random sample of 17 low income freshman calculated a mean number of hours spent volunteering in the year prior to attending KU was 39.2 with a standard deviation of 9.7. Is this sufficient evidence that the mean number of hours spent

volunteering among current low-income freshman in the year prior to attending KU was different than 43.6?

Answer 1

Solution :

= 43.6

=39.2

S =9.7

n = 17

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 43.6

Ha :     43.6

Test statistic = t

= ( - ) / S / n

= (39.2 -43.6) / 9.7 / 17

= −1.87

Test statistic = t = −1.87

P-value =0.0799