Question

Question 13 Dean Halverson recently read that full-time college students study 20 hours Type numbers in the boxes. each week. She decides to do a study at her university to see if there is 10 points evidence to show that this is not true at her university. 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 17.9 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

H0: $\mu$ = 20

Ha: $\mu$ $\neq$ 20

Test statistics

t = ($\bar{x}$ - $\mu$ ) / ( S / sqrt(n) )

= (17.9 - 20) / (4.6 / sqrt(34) )

= -2.66

From T table,

With test statistics of 2.66 and df of 33 ,

p-value (Two tailed) = 0.0120