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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The <em><u>correct answer</u></em> is:
46.6 days
Explanation:
The general form for exponential growth is
, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).
We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:
We also know we want the total amount, A, to be twice that of the initial amount, p:
Divide both sides by p:
Using logarithms to solve this,
Answer:
Since stress is greater than ultimate strength, the wire will break.
Step-by-step explanation:
The titanium wire is experimenting an axial load. Ultimate strength equals . The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (
), measured in pascals, in the wire with circular cross-section is:
(1)
Where:
- Axial force, measured in newtons.
- Cross-section diameter, measured in meters.
Please notice that axial force is the weight of the man hanging from wire.
If we know that and
, then the axial stress experimented by the titanium wire is:
Since stress is greater than ultimate strength, the wire will break.