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

question 117

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.

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Definitions:

Crafting Behaviours

Actions taken by individuals to reshape their jobs, altering tasks, relationships, or perceptions to improve job satisfaction and engagement.

Management Commitment

The extent to which management is dedicated to the development, implementation, and continuous improvement of systems and processes.

Productivity Gains

Increases in the output of goods or services per unit of input, typically through improvements in efficiency, technology, or processes.

Management Objectives

Specific goals set by an organization's management team to guide employee actions and business strategies.