Question

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 32 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 32 students studied each week was 19.1 hours. The sample standard deviation of 4.2 hours.

Find the p-value.

The p-value should be rounded to 4-decimal places.

Answer 1

Solution :

= 20

=19.1

S =4.2

n = 32

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 20

Ha : < 20

Test statistic = t

= ( - ) / S / n

= (19.1 - 20) / 4.2 / 32

= -1.212

Test statistic = t = -1.212

P-value = 0.1173