# A college professor is concerned that the two sections of chemistry that he teaches are not performing at the same level

A college professor is concerned that the two sections of chemistry that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class 1, the mean exam score for 18 students is 80.8 with a standard deviation of 3.8. In Class 2, the mean exam score for 23 students is 76.5 with a standard deviation of 8.8

. Assume that the population distributions are approximately normal and the population variances are equal.

Find the P

-value for the hypothesis test. Round your answer to four decimal places.

b. Is there sufficient evidence to conclude that the two sections he teaches are not performing at the same level? Test the claim at the 0.10 level of significance.