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 33 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 33 students studied each week was 17.7 hours. The sample standard deviation of 3.9 hours.

Find the p-value.

The p-value should be rounded to 4-decimal place

Answer 1

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 20
Alternative Hypothesis, Ha: μ < 20

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (17.7 - 20)/(3.9/sqrt(33))
t = -3.388

P-value Approach
P-value = 0.0009