Question: A researcher is investigation the effectiveness of a new study-skills training program for elementary school children. A sample of n = 25 third-grade children is selected to participate in the program and each child is given a standardized achievement test at the end of the year. For the regular population of third-grade children, scores on the test form a normal distribution with a mean of m = 150 and a standard deviation of s = 25. The mean for the ample is M = 158.

a. Identify the independent and the dependant variables for this study.

b. Assuming a two-tailed test, state the null hypothesis in a sentence that includes the independent variable and the dependent variable.

c. Using symbols, state the hypothesis for the two-tailed test.

d. Sketch the appropriate distribution, and locate the critical region for a =.05

e. Calculate the test statistic (z-score) for the sample.

f. What decision should be made about the null hypothesis, and what decision should be made about the effect of the program?