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Hitman42 [59]
3 years ago
14

The Canadian government would like to test the hypothesis that the standard deviation for the hourly wage for men is equal to th

e standard deviation for the hourly wage for women. The following data summarizes the sample statistics for hourly wages for men and women.
Men Women
Sample mean $25.40 $21.20
Sample size 20 18
Sample standard deviation $6.20 $5.90

If Population 1 is defined as men and Population 2 is defined as women, and using α = 0.025, which one of the following statements is true?

a) Because the p-value is less than α, the Canadian government cannot conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women.
b) Because the p-value is less than α, the Canadian government can conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women.
c) Because the p-value is greater than α, the Canadian government can conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women.
d) Because the p-value is greater than α, the Canadian government cannot conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women.

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

Answer:

Because the p-value is greater than α, the Canadian government can conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women.

Step-by-step explanation:

See attached picture.

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