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Question: Members of the general adult population volunteer an average of 4.2 hours per week. A random sample of twenty female college students & eighteen male college students produced the results given in the table below. Assuming that the variances of the time volunteered by females & males are equal, 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 & female college students?
Females
Males
Sample size
20
18
Sample mean
3.8
2.5
Sample variance
3.5
2.2
[A] No, because the test value 2.58 is greater than the critical value
[B] Yes, because the test value 2.58 is greater than the critical value
[C] No, because the test value 2.36 is greater than the critical value
[D] No, because the test value 2.36 does not exceed the critical value
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