A sociologist studies the relationship between a district's average score on a standardized test for 10th grade students (v), the average school expenditures per student (vi in
$1,000s), and an index of socioeconomic status of the district (*2). 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 1 # B2. The results of the restricted
model for this test are Y = 12.25 + 6.05(r| + 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. At the 5% significance level, find the critical value(s).
d.
What is the conclusion to the test?