Question: Inferences from Two Samples

Female salary average $149,314

Male salary average $190,715

Given the salary data, show whether you see any significant differences in the salaries based on gender identification. Assume that the samples are independent, and the variances are unknown but assumed equal.

Calculate the mean salary for male employees and the mean salary for female employees (rounded to the dollar). Use a 0.05 significance level to test the claim that male employees and female employees have the same mean salary. Include your critical value, test statistic, and p-value (rounded to two decimal places).