test statistics, p-values, and differences among groups. 4. (15 points) Utilizing the NELS:88 school level dataset on Canvas (nelschll.sav), conduct the following analysis. You are interested in knowing to what degree there are differences between the mean base-year reading/math achievement composite score (bytxcomp) schools in each of 4 different geographic regions in the U.S. (northeast, north central, south, and west). The region variable to use in the analysis is "glOregon." Answer the following questions and attach appropriate output as requested. a. What type of means comparison test (1-sample, 2-sample, ANOVA, etc.) do you need to run? How do you know from the information above? b. Determine whether or not these variables meet the assumptions of the test. We will stipulate that the categories have approximately equal sample sizes for this exercise. Do they meet the assumptions of the test you wish to run? Why or why not? Attach any output needed to justify your answers. c. State the null and alternative hypotheses for the test you intend to run. d. Execute the analysis and attach the full output to this homework. What do you find? (Don't forget to check the region variable and make sure to exclude all cases not a part of the four regions listed above). Summarize your findings in 2 to 3 paragraphs. Also be sure to discuss whether we should reject or retain the null hypothesis stated above in part c