Information regarding random samples of annual salaries (in thousands of dollars) of doctors in three different specialties is shown below.
?
PediatricsRadiologyPathologySample size121011Average salary120186240Sample variance161820?
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 the 5% level. Determine the critical value for this test. What do you conclude?e.Determine the p-value and use it for the test.
What will be an ideal response?
a. 180
b.H0: There is no significant difference among the means of the populations.Ha: At least one mean is different from the others.c.
| Source of Variation | SS | df | MS | F |
| Between Groups | 83160 | 2 | 41580 | 2318.59 |
| Within Groups | 538 | 30 | 17.933 | |
| Total | 83698 | 32 |
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