Question

In: Statistics and Probability

In another study conducted in 2016, the average of monthly salaries of 45 randomly chosen residents...

In another study conducted in 2016, the average of monthly salaries of 45 randomly chosen residents in Bordeaux was found to be €3200; the sample standard deviation of the chosen salaries was €600. The suspicion was that the average salary of residents in Paris is lower than the average salary of residents in Bordeaux. The research team was to conduct a t-test to test the suspicion. But they had no information on the two population variances. So they first conducted an F-test at a significance level of 5% to determine if the two population variances are equal or not, assuming that both populations were normal. Set 1 = Paris; 2 = Bordeaux.

Question 12: The analyst then conducted an appropriate t-test at a significance level of 5% to test the suspicion. Set up the alternative hypotheses for the t-test. Question 13: Find the test statistic in the t-test.

Question 14: Find the rejection region in the t-test.

Question 15: What is the conclusion?

Solutions

Expert Solution

ANSWER::

Q.12)

We want to test;

H0 : The average/mean salary f paris and Bordeaux is same

H1: The average/mean salary f paris and Bordeaux is different

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