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A researcher wonders whether males get paid more, on average, than females at a large firm. She interviews 50 employees and collects data on each

A researcher wonders whether males get paid more, on average, than females at a large firm. She interviews 50 employees and collects data on each employee's hourly wage (Wage in $), years of higher education (EDUC), years of experience (EXPER), age (Age), and a Male dummy variable that equals 1 if male, 0 otherwise. A portion of the data is shown in the accompanying table.

a. Estimate: Wage = 0 + 1EDUC + 2EXPER + 3Age + 4Male + .

b. Predict the hourly wage of a 40-year-old male and femaleemployee with 10 years of higher education and 5 years experience.

c-1. Interpret the estimated coefficient for Male.

  • The male coefficient implies that males earn $6.03 per hour more than females at the firm, holding everything else the same.
  • The male coefficient implies that males earn $6.03 per hour less than females at the firm, holding everything else the same.
  • The male coefficient implies that males earn $1.23 per hour more than females at the firm, holding everything else the same.
  • The male coefficient implies that males earn $1.23 per hour less than females at the firm, holding everything else the same.

c-2. Is the Male variable significant at the 5% level? Do the data suggest that sex discrimination exists at this firm?

  • Yes, since we do not reject the null hypothesis of discrimination.
  • Yes, since we reject the null hypothesis of no discrimination.
  • No, since we reject the null hypothesis of discrimination.
  • No, since we reject the null hypothesis of no discrimination.
Wage EDUC EXPER Age Male
40.26 2 2 40 1
22.29 3 1 39 0
12.82 8 2 38 0
22.46 11 9 53 1
28.02 1 15 59 1
26.86 7 12 36 1
13.25 3 5 45 0
18.29 10 12 37 0
26.03 3 14 37 1
27.11 4 3 43 1
22.01 4 5 32 0
24.28 3 18 40 1
25.83 3 1 49 1
20.71 10 10 43 0
18.19 4 9 31 0
32.75 5 22 45 0
44.87 9 3 31 1
15.83 2 14 55 0
21.04 6 5 30 1
12.8 5 3 28 0
20.37 5 15 60 1
25.21 11 13 32 0
10.2 3 9 58 1
15.36 4 4 28 0
15.89 5 5 40 1
16.64 9 2 37 0
25.68 7 18 52 1
20.49 8 4 44 0
21.31 10 4 57 0
21.12 11 3 30 1
17.53 5 8 43 0
20.99 3 6 31 1
9.32 5 3 33 0
16.57 4 23 51 1
15.26 7 15 37 0
17.84 3 9 45 0
11.97 5 3 55 0
14.66 9 14 57 0
38.34 6 16 36 1
16.05 3 20 60 1
8.39 7 5 35 0
12.66 11 10 34 0
12.91 2 4 28 1
9.12 6 1 25 0
19.69 5 10 43 1
17.69 8 2 42 1
20.47 3 17 47 0
13.51 8 2 46 1
22.71 6 15 52 0
21.27 9 11 64 0

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