Question

A recent study of 101 social workers in a southern state found that their mean salary was 24,100 with a sample standard deviation of 2100. A similar study of 121 social workers in a western state found that their mean salary was 27,500 with a sample standard deviation of 3200. Test the claim that the salaries of social workers in the western state is greater than that of social workers in the southern state. use alpha =0.05.

Answer 1

The null and alternate hypothesis are:
H0:
Ha:
The test statistic value is given by:

Since this is a right tailed test, so the critical value is given by:

Since the test statistic value is greater than the critical value, so we have sufficient evidence to reject null hypothesis H0.

Thus we can say that .