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 more than 20 hours each week. A random sample of 34 students were asked to keep a diary of their activities over a period of several weeks. It was found that the average number of hours that the 34 students studied each week was 21.5 hours. The sample standard deviation of 4.6 hours.

Find the p-value.

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

Answer 1

Given that, sample size (n) = 34, sample mean = 21.5 hours

and sample standard deviation (s) = 4.6 hours

The null and alternative hypotheses are,

H0 : μ = 20 hours

Ha : μ > 20 hours

Test statistic is,

=> Test statistic = t = 1.901

Degrees of freedom = 34 - 1 = 33

Using Excel, we get p-value as follows :

Excel Command : =TDIST (1.901, 33, 1) = 0.0330

=> p-value = 0.0330