Question

Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use the traditional method or P-value method as indicated. 9) A researcher was interested in comparing the salaries of female and male employees at a particular company. Independent simple random samples of 8 female employees and 15 male employees yielded the following weekly salaries (in dollars).

Female: 495, 760, 556, 904, 520, 1005, 743, 660

Male: 722, 562, 800, 520, 500, 1250, 750, 1640, 518, 904,1150,805,480,970, 605

Use a 0.05 significance level to test the claim that the mean salary of female employees is less than the mean salary of male employees. Use the traditional method of hypothesis testing.

Answer 1

First of all we calculate the mean and standard deviation for salary of both male and female employees as :

For Female employees,

So,

For Male employees,

So,

We conduct t-test for two means as :

Hence, there is not enough evidence to claim that the mean salary of female employees is less than the mean salary of male employees.