Fourth-Grade Test Scores A local school board was interested in comparing test score...

Fourth-Grade Test Scores A local school board was interested in comparing test scores on a standarized reading test for fourth-grade students in their district. They selected a random sample of five male and five female fourth grade students at each of four different elementary schools in the district and recorded the test scores. The results are shown in the table below.

a. What type of experimental design is this? What are the experimental units? What are the factors and levels of interest to the school board?

b. Perform the appropriate analysis of variance for this experiment.

c. Do the data indicate that effect of gender on the average test score is different depending on the student’s school? Test the appropriate hypothesis using α = .05.

d. Plot the average scores using an interaction plot. How would you describe the effect of gender and school on the average test scores?

e. Do the data indicate that either of the main effects is significant? If the main effect is significant, use Tukey’s method of paired comparisons to examine the differences in detail. Use α = .01.