Question 607227: Can I please get someone's help on this. Tried and tried but I cant get it. Saw other answers but they didnt match up to the answer provided.
Members of the general adult population volunteer an average of 4.2 hours per week. A random sample of 20 female college students and 18 male college students produced the results given in the table below. At the .01 level of significance, is there sufficient evidence to conclude that a difference exists between the mean number of volunteer hours per week for male and female college students?
Females Males
Sample size 20 18
Sample mean 3.8 2.5
Sample variance 3.5 2.2
Possible answers:
A. No, because the test value 2.38 is greater than the critical value
B. No, because the test value 2.38 does not exceed the critical value
C. No, because the test value 2.90 is greater than the critical value
D. Yes, because the test value 2.90 is greater than the critical value
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Members of the general adult population volunteer an average of 4.2 hours per week. A random sample of 20 female college students and 18 male college students produced the results given in the table below. At the .01 level of significance, is there sufficient evidence to conclude that a difference exists between the mean number of volunteer hours per week for male and female college students?
Females Males
Sample size 20 18
Sample mean 3.8 2.5
Sample variance 3.5 2.2
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Ho: um - uf = 0
Ha: um - uf # 0 (claim)
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I ran a 2 sample T-test and got the following results:
test statistic: t = 2.38
p-value = 0.0226
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Since the p-value is greater than 1%, fail to reject Ho.
The test results to not support the claim.
Possible answers:
A. No, because the test value 2.38 is greater than the critical value
B. No, because the test value 2.38 does not exceed the critical value
C. No, because the test value 2.90 is greater than the critical value
D. Yes, because the test value 2.90 is greater than the critical value
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Answer: B
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Cheers,
Stan H.
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