An engineer in charge of water rationing for the U.S. Army wants to determine if
ID: 3357509 • Letter: A
Question
An engineer in charge of water rationing for the U.S. Army wants to determine if the average male soldier spends less time in the shower than the average female soldier. Let m represent the average time in the shower of male soldiers and f represent the average time in the shower of female soldiers.
a) Among a sample of 50 male soldiers the average shower time was found to be 2.66 minutes and the standard deviation was found to be 0.74 minutes. Among a sample of 58 female soldiers the average shower time was found to be 2.81 minutes and the standard deviation was found to be 0.64 minutes. What is the test statistic? Give your answer to three decimal places.
b) What is the P-value for the test? Give your answer to four decimal places.
c) Using a 0.01 level of significance, what is the appropriate conclusion?
Fail to reject the claim that the average shower times are the same for male and female soldiers because the P-value is greater than 0.1.
Reject the claim that the average shower times are different for male and female soldiers because the P-value is greater than 0.1.
Conclude that the average shower time for males is equal to the average shower time for females because the P-value is less than 0.1
Conclude that the average shower time for males is less than the average shower time for females because the P-value is less than 0.1.
If you dont have 100 percent correct answers, I will not take them. I already got these wrong so dont give me wrong answers again.
Explanation / Answer
The statistical software output for this problem is:
Two sample T summary hypothesis test:
?1 : Mean of Population 1
?2 : Mean of Population 2
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 < 0
(with pooled variances)
Hypothesis test results:
Hence,
a) Test statistic = -1.130
b) P - value = 0.1306
c) Fail to reject the claim that the average shower times are the same for male and female soldiers because the P-value is greater than 0.1.
Option A is correct.
Difference Sample Diff. Std. Err. DF T-Stat P-value ?1 - ?2 -0.15 0.13277721 106 -1.1297119 0.1306Related Questions
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