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