The gap between the earnings of men and women with equal education is narrowing but has not closed. Sample data for seven men and seven women with bachelor's degrees are as follows. Data are shown in thousands of dollars. men Men women 37.6 80.5 50.2 61.2 49.2 58.9 60.3 Women 46.5 40.4 35.9 47.5 30.8 55.5 (a) What is the median salary (in $) for men? For women? $ 59 X $40 X 26.8

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(b) Use α = 0.05 and conduct the hypothesis test for identical population distributions.
State the null and alternative hypotheses.
Ho:
: Median salary for men - Median salary for women ≤0
Ha: Median salary for men
Median salary for women 0
Ho: Median salary for men
: Median salary for men
H₂:
-
Median salary for women ≥ 0
Median salary for women < 0
Ho: The two populations of salaries are not identical.
H₂:
: The two populations of salaries are identical.
Ho:
: Median salary for men - Median salary for women > 0
Ha: Median salary for men Median salary for women = 0
Ho: The two populations of salaries are identical.
H₂:
: The two populations of salaries are not identical.
3.0454
Find the value of the test statistic.
W =
X
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.009
X
Transcribed Image Text:(b) Use α = 0.05 and conduct the hypothesis test for identical population distributions. State the null and alternative hypotheses. Ho: : Median salary for men - Median salary for women ≤0 Ha: Median salary for men Median salary for women 0 Ho: Median salary for men : Median salary for men H₂: - Median salary for women ≥ 0 Median salary for women < 0 Ho: The two populations of salaries are not identical. H₂: : The two populations of salaries are identical. Ho: : Median salary for men - Median salary for women > 0 Ha: Median salary for men Median salary for women = 0 Ho: The two populations of salaries are identical. H₂: : The two populations of salaries are not identical. 3.0454 Find the value of the test statistic. W = X Find the p-value. (Round your answer to four decimal places.) p-value = 0.009 X
The gap between the earnings of men and women with equal education is narrowing but has not closed. Sample data for
seven men and seven women with bachelor's degrees are as follows. Data are shown in thousands of dollars.
Men
women
37.6
80.5
50.2
61.2
49.2
58.9
60.3
Women
46.5
40.4
35.9
47.5
30.8
55.5
26.8
(a) What is the median salary (in $) for men? For women?
men
$ 59
X
$40
X
Transcribed Image Text:The gap between the earnings of men and women with equal education is narrowing but has not closed. Sample data for seven men and seven women with bachelor's degrees are as follows. Data are shown in thousands of dollars. Men women 37.6 80.5 50.2 61.2 49.2 58.9 60.3 Women 46.5 40.4 35.9 47.5 30.8 55.5 26.8 (a) What is the median salary (in $) for men? For women? men $ 59 X $40 X
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