A study is trying to estimate the difference between the annual salaries paid to female and male employees working for the same large company. They take a random sample of 50 females and find that their average annual salary is $75 600 with a variance of $21 250. They take a random sample of 50 males and find that their average annual salary is $78 500 with a variance of $22 500. Find and interpret a 95% confidence interval for the difference in annual salaries for female and male employees of this large company.
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