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A researcher wants to compare the average monthly salaries of two different professions. Which statistical test should be used?a.Z-testb.T-testc.Chi-square testd.F-testClear my choice

Question

A researcher wants to compare the average monthly salaries of two different professions. Which statistical test should be used?a.Z-testb.T-testc.Chi-square testd.F-testClear my choice

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Solution

To determine which statistical test should be used to compare the average monthly salaries of two different professions, we need to consider the nature of the data and the assumptions of each test.

a. Z-test: This test is used when we have a large sample size and know the population standard deviation. It is typically used for testing hypotheses about population means.

b. T-test: This test is used when we have a small sample size or do not know the population standard deviation. It is commonly used to compare means between two groups.

c. Chi-square test: This test is used to analyze categorical data and determine if there is a significant association between two variables. It is not suitable for comparing average salaries.

d. F-test: This test is used to compare the variances of two or more groups. It is not appropriate for comparing average salaries directly.

In this case, since we want to compare the average monthly salaries of two different professions, the most appropriate test would be the t-test. This test allows us to compare the means of two groups and determine if there is a significant difference between them.

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