A policy institute, wanting to investigate gender differences in retirement savings, surveys 600 randomly chosen participants in large-company 401K retirement plans managed by the company. Of the 600 401K participants surveyed, 325 are men and 275 are women: the men have an average of $98.75K in their accounts with standard deviation 42.56, while the women have an average of $56.32K with standard deviation 30.10. Let ?1 be the population mean and ?1 be the population standard deviation of 401K amounts (in thousands of dollars) held by male 401K participants, and let ?2 and ?2 be the corresponding quantities for female 401K participants. The

following printout shows an analysis the policy institute performs:

Two-Sample T-Test and CI Sample N Mean St Dev SE Mean 325 98 . 75 42.56 2.361 2 275 56.32 30 . 10 1 . 815 Difference = mu (1) - mu (2) Estimate for difference: 42.43 95$ CI for difference: (36. 58, 48.28) T-Test of difference = 0 (vs not =) : T-Value = 14.25 P-Value = 0.000 DF = 580