The Virginia Department of Social Services collected information on 25
Virginia Supplemental Nutrition Assistance Program (SNAP, formerly Food
Stamps) beneficiaries and found that their average monthly food expenditure
was $160. The average monthly food expenditure for SNAP beneficiaries
nationwide is assumed to be $136. Assume that the SNAP beneficiaries’
expenditures are normally distributed and have a standard deviation of
$15.40. If you were to test the claim that Virginia SNAP beneficiaries have a
monthly expenditure different from that of $136, using a 0.05 significance
level, what would be the test statistic?
a) 1.56
b) 7.79
c) 1.96
d) -7.79
e) -1.56
I used a t-test and got b)7.79