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.
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.
1 answer:
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Let's use the quadratic formula
a = 1, b = 0, c = -18
This is now split into two equations:
and
Since
The answer is
which means there are 2 real number solutions to the problem: answer B.
a = 1, b = 0, c = -18
This is now split into two equations:
and
Since
The answer is
which means there are 2 real number solutions to the problem: answer B.
