Information regarding random samples of annual salaries (in thousands of dollars) of doctors in three different specialties is shown below.
Pediatrics Radiology Pathology
Sample size 12 10 11
Average salary 120 186 240
Sample variance 16 18 20
a. Compute the overall mean .
b. State the null and alternative hypotheses to be tested.
c. Show the complete ANOVA table for this test including the test statistic.
d. The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. What do you conclude?
e. Determine the p-value and use it for the test.