An experiment is conducted to compare the starting salaries of male and female college graduates who find jobs. Pairs are formed by choosing a male and a female with the same major and similar grade point averages (GPAs). Suppose a random sample of 10 pairs is formed in this manner and the starting annual salary of each person is recorded. The results are shown in Table 8.5. Compare the mean starting salary, μ₁, for males with the mean starting salary, μ₂, for females using a 95% confidence interval. Interpret the results.

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Table 8.5 Pair 1234567899 10 Data on Annual Salaries for Matched Pairs of College Graduates Male X₁ Female X2 $29,300 41,500 40,400 38,500 43,500 37,800 69,500 41,200 38,400 59,200 $28,800 41,600 39,800 38,500 42,600 38,000 69,200 40,100 38,200 58,500 Difference d = X₁ X₂ $ 500 -100 600 0 900 -200 300 1,100 200 700