Monthly Social Security BenefitsThe average monthly Social Security benefit in

2004

for retired workers was$

955.16

and for disabled workers was$

901.47

. Researchers used data from the Social Security records to test the claim that the difference in monthly benefits between the two groups was greater than$

30

. Based on the following information, can the researchers' claim be supported at the0.01

level of significance?RetiredDisabledSample size60

60

Mean benefit$

955.16

$

901.47

Population standard deviation$

98

$

101