Final answer:
The appropriate statistical test to compare the average monthly salaries of two different professions is the t-test.
Step-by-step explanation:
To compare the average monthly salaries of two different professions, the appropriate statistical test to use is the t-test. The t-test is used to determine if there is a significant difference between the means of two independent groups. In this case, the two groups would be the salaries of the two professions being compared.
For example, if we are comparing the average monthly salaries of doctors and engineers, we would collect data on the salaries of a sample of doctors and a sample of engineers. We would then use the t-test to determine if there is a statistically significant difference between the two groups.
The t-test is chosen over the z-test when the sample size is small or when the population standard deviation is unknown.
Learn more about t-test for comparing average salaries