This assignment is putting all the three types of t test together to see if you can identify which t test should be used to answer specific research question (30 points in total). Please identify what t test you are going to use, and then follow the 4 steps of hypothesis testing to answer the questions.

A developmental psychologist is studying changes in creativity (cf. Terman, 1925; see Simonton, 2000, for a review). He collects scores on a divergent thinking test for third-graders and sixth-graders, and obtains the descriptive statistics below:

M s n

3rd Grade 75.00 5.00 26

6th Grade 80.00 7.00 16

Conduct the hypothesis testing at =0.05.

1. The first hypothesis he wants to test for is whether the third graders' average score differs significantly from that of the general population of children, which he knows is 72.00 (based on previous research). Are the divergent thinking skills of third graders in this sample significantly different from that of the general population? Conduct the appropriate statistical test and state your conclusion based on the data.