An education researcher would like to test whether 2^ndgraders retain or lose knowledge during the summer when they are presumably not in school. She asks nine 2^ndgraders to take a comprehension exam at the end of the school year (May), and then asks those same students to come back after the summer (late August) to retake a different but equivalent exam, to see if their level of comprehension has changed. Using the data below, test this hypothesis using an alpha level of .05.

May: 95, 72, 78, 50, 89, 92, 75, 90, 65

August: 100, 80, 95, 65, 85, 98, 70, 96, 87

What is the appropriate test?

State the Null Hypothesis:

State the Alternative Hypothesis:

What is (are)the critical value(s)?

Calculate the obtained statistic:

Make a Decision:

Reject Null

Retain Null

What does your decision mean?