It takes an average of 40 minutes to do the in class problem sets. Testing the hypothesis for hypothesis testing will be completed faster a sample of 100 students showed the average time to complete the problem sets was a standard deviation of 9 minutes and the average time to complete problem sets was 32 minutes.

a) At the .05 level do the hypothesis tests get done faster than normal? (note: p = 0)

b) Interpret the p-value

c) The 95% confidence interval readout is"33.49or less" Interpret this in context of the problem

d) If I take another sample of 100 students to do hypothesis testing problem set would a mean of 38 minutes be something I would expect? Explain