Information Regarding Random Samples of Annual Salaries in Thousands of Dollars)

Essay

Information regarding random samples of annual salaries in thousands of dollars) of doctors in three different specialties is shown below.
$$\begin{array} { l c c c } & \text { Pediatrics } & \text { Radiology } & \text { Pathology } \\\text { Sample size } & 12 & 10 & 11 \\\text { Average salary } & 120 & 186 & 240 \\\text { Sample variance } & 16 & 18 & 20\end{array}$$
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.