Question

You need to find out whether men and women are paid equally at your company. You collect two samples of equally qualified men and women. The sample of 75 women yielded a sample mean of $65,450 and a standard deviation of $3,270. The sample of 72 men yielded a sample mean of $69,210 and a standard deviation of $3,080. Research question: Is there evidence that men and women are not equally paid at your company?

a. State the null and alternative hypothesis

b. Using the significance level of 5 % determine the critical values

c. Calculate the test statistic

d. Do you reject or not reject the null hypothesis? Why or why not?

e. Calculate or estimate the p-value, and interpret the result

f. Answer the research question g. Calculate a 95% confidence interval for the mean difference, and interpret the result

h. How does the result in (g) relate to the conclusion in parts (d),(e) , and (f) ?

Answer 1

## our test is two tailed test :

test statistics value is : -7.1788 | t | = it is large

critical value = 1.9764

our test statistics large and degree of freedom is also large so our p value would be so small , it is 0.0000

decision from critical value approach and p value approach we reject Ho.

confidence interval is -4795.1647 to - 2724.8353

intercal does not include null value hence result is significant . that is there is difference in the population means .

## from critical value approach , p value approach and confidence interval result is same we reject Ho.