Information regarding random samples of annual salaries (in thousands of dollars) of doctors in three different specialties is shown below. (20 mins)

	Pediatrics	Radiology	Pathology
Sample size	12	10	11
Average salary	120	186	240
Sample variance	16	18	20

a.

Compute the overall mean .

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b.

State the null and alternative hypotheses to be tested.

H₀: Blank 2

H_a: Blank 3

c.

Show the complete ANOVA table for this test including the test statistic.

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d.

The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. What do you conclude?

Critical value: Blank 21

Conclusion: Blank 22

e.

Determine the p-value and use it for the test.

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