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 1if male, O otherwise. A portion of the data is shown in the accompanying table. Wage 39.98 23.71 EDUC EXPER (Age 40 39 Male 19.63 7. 11 64 Click here for the Excel Data File a. Estimate: Wage da -FOUC tEYRER

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Wage
EDUC
EXPER
Age
Male
39.98
40
23.71
39
13.18
3
12
38
19.91
53
24.39
17
15
59
21.06
11
12
36
20.05
45
19.82
6.
12
37
26.41
14
37
1.
28.19
6.
43
22.37
32
16.51
17
18
40
20.53
10
1
49
43
20.41
10
15.5
7.22
11
31
24
22
45
42.15
10
3.
31
17.41
14
55
11.66
10
30
16.1
28
20.9
15
60
1.
24.71
11
13
32
9.93
7.
6.
58
8.9
10
4
28
21.83
40
18.33
37
29.69
18
52
20.06
4
44
16.08
10
57
22.01
3.
30
14.14
43
16.11
17.75
33
18.66
17
23
51
19.49
15
37
11.27
45
11.75
6.
55
21.12
14
57
34.28
18.5
16
36
20
60
7.11
9.
35
18.83
7.
10
34
19.37
28
9.01
14.4
25
10
43
20.07
2.
42
27.44
17
47
19.12
19.74
46
15
52
19.63
11
64
649
IN779 O
Transcribed Image Text:Wage EDUC EXPER Age Male 39.98 40 23.71 39 13.18 3 12 38 19.91 53 24.39 17 15 59 21.06 11 12 36 20.05 45 19.82 6. 12 37 26.41 14 37 1. 28.19 6. 43 22.37 32 16.51 17 18 40 20.53 10 1 49 43 20.41 10 15.5 7.22 11 31 24 22 45 42.15 10 3. 31 17.41 14 55 11.66 10 30 16.1 28 20.9 15 60 1. 24.71 11 13 32 9.93 7. 6. 58 8.9 10 4 28 21.83 40 18.33 37 29.69 18 52 20.06 4 44 16.08 10 57 22.01 3. 30 14.14 43 16.11 17.75 33 18.66 17 23 51 19.49 15 37 11.27 45 11.75 6. 55 21.12 14 57 34.28 18.5 16 36 20 60 7.11 9. 35 18.83 7. 10 34 19.37 28 9.01 14.4 25 10 43 20.07 2. 42 27.44 17 47 19.12 19.74 46 15 52 19.63 11 64 649 IN779 O
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 1if male, O otherwise. A portion of the data is shown in the accompanying table.
EXPER
Wage
39.98
23.71
EDUC
Age
40
Male
6
39
19.63
11
64
Click here for the Excel Data File
a. Estimate: Wage = Po +PEDUC + PEXPER + PAge + PaMale + e. (Negative values should be Indicated by a minus sign. Round
your answers to 4 decimal places.)
Predicted Wage
EDUC
EXPER
Age
Male
b. Predict the hourly wage of a 40-year-old male and female employee with 10 years of higher education and 5 years experience.
(Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)
40-yoar-old male
40-year-old fermale
Predicted Wage
per hour
per hour
c-1. Interpret the estimated coefficient for Male.
The male coefficient implies that males earn $4.13 per hour more than females at the firm, holding everything else the same.
The male coefficient implies that males earn $413 per hour less than females at the firm, holding everything else the same.
O The male coefficient implies that males earn $1.23 per hour more than females at the firm, holding everything else the same.
O 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 1% level? Do the data suggest that sex discrimination exists at this firm?
O Yes, since we reject the null hypothesis of discrimination.
O Yes, since we do not reject the null hypothesis of no discrimination.
O No, since we do not reject the null hypothesis of discrimination.
ONo, since we do not reject the null hypothesis of no discrimination.
Transcribed Image Text: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 1if male, O otherwise. A portion of the data is shown in the accompanying table. EXPER Wage 39.98 23.71 EDUC Age 40 Male 6 39 19.63 11 64 Click here for the Excel Data File a. Estimate: Wage = Po +PEDUC + PEXPER + PAge + PaMale + e. (Negative values should be Indicated by a minus sign. Round your answers to 4 decimal places.) Predicted Wage EDUC EXPER Age Male b. Predict the hourly wage of a 40-year-old male and female employee with 10 years of higher education and 5 years experience. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.) 40-yoar-old male 40-year-old fermale Predicted Wage per hour per hour c-1. Interpret the estimated coefficient for Male. The male coefficient implies that males earn $4.13 per hour more than females at the firm, holding everything else the same. The male coefficient implies that males earn $413 per hour less than females at the firm, holding everything else the same. O The male coefficient implies that males earn $1.23 per hour more than females at the firm, holding everything else the same. O 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 1% level? Do the data suggest that sex discrimination exists at this firm? O Yes, since we reject the null hypothesis of discrimination. O Yes, since we do not reject the null hypothesis of no discrimination. O No, since we do not reject the null hypothesis of discrimination. ONo, since we do not reject the null hypothesis of no discrimination.
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