3A (20%) A sociologist studies the relationship between a district's average score on a standardized test for 10th grade students (y), the average school expenditures per student (x] in $1,000s), and an index of socioeconomic status of the district (x2). The results of the regression are : Y = 10.16 + 8.50x1 + 4.30x2; n = 25; SSE = 450: He would like to determine whether the influence of expenditures on test scores differs from the influence of the index on test scores, or B1 # 2. The results of the restricted model for this test are Y = 12.25 + 6.05(x1 + x2); n = 25; SSE = 600. a. Formulate the hypotheses to determine whether Expenditures and Index Rate have the same influence on Scores. b. Calculate the value of the test statistic. c. At the 5% significance level, find the critical value(s). d. What is the conclusion to the test