1. The local school district is comparing two methods for teaching mathematics to third-grade children.One class of n = 20 students is being taught by method A and another class of n = 20 is being taught by method B.At the end of the school year, all of the students take a standardized math achievement test.The scores for the students taught by method A produced a mean of M = 75 with s² = 95, and the students taught by method B had a mean of M = 87 with s² = 105.It is expected that method A will yield better results on the achievement test.

A. What is the null hypothesis?

B. What is the research hypothesis?

C. Find the critical t value by using the table in Appendix B2 in your book. Remember that to find the total degrees of freedom you will use.If the exact df is not in the table, round down to the nearest df.

D. Compute the estimated standard error for the test. Show all of your work.

E. Compute the t-value using a one-tailed test with = .05. Show all of your work.

F. Do you reject the null hypothesis or fail to reject the null? Is method A better than method B?

G. What is the size of the effect? Is this a small, medium, or large effect? Show all of your work.