Information regarding random samples of annual salaries (in thousands of dollars) of doctors in three differentspecialties is shown below.PediatricsRadiologyPathologySample sizeAverage salarySample variance121011120186240161820a.Compute the overall meanb.Show the complete ANOVA table for this test including the test statistic.The null hypothesis is to be tested at the 5% level. Determine the critical value for this test.d. Determine the p-value and use it for the test.c.

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Description: Information regarding random samples of annual salaries (in thousands of dollars) of doctors in three differentspecialties is shown below.PediatricsRadiologyPathologySample sizeAverage salarySample variance121011120186240161820a.Compute the overall

The given summary statistics are as follows:a) Calculate the overall mean is as follows: Overall mean: Therefore, the overall mean is 182. b) Calculations: Sum of squares for treatments: Sum of squares for error: Total sum of squares:Degrees of freedom: Mean sum of squares: Test statistic: Therefore, the value of test statistic is 2,322.2720. ANOVA table:c. Hypotheses: H0: µ1 = µ2 = µ3. That is, there is no difference between in the three different population means of specialties. Ha: At least one µ is different. That is, there is a difference between in the three different population means of specialties Level of significance is 0.05. Critical value: Calculate the critical value using Excel is as follows: Therefore, the critical value is 3.3158. Decision rule: If test statistic > critical value, then reject the null hypothesis. Here, test statistic (2,322.2720) > critical value (3.3158), then reject the null hypothesis. Therefore, there is no sufficient evidence to conclude that the three population means are the same for the three specialties. d. p-value: Calculate the p-value using Excel is as follows: Therefore, the p-value is 0.000.

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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. Show the complete ANOVA table for this test including the test statistic. c. The null hypothesis is to be tested at the 5% level. Determine the critical value for this test. d. Determine the p-value and use it for the test.

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. Show the complete ANOVA table for this test including the test statistic. c. The null hypothesis is to be tested at the 5% level. Determine the critical value for this test. d. Determine the p-value and use it for the test.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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