The sociological department of Kent College conducted an investigation to determine how long it takes for a woman or man to get married after their graduation in Kent Town. Two independent random samples were selected and the following summary information concerning times to completion of medical school were computed:
Men: Sample size 100 Sample mean: 8.8 years Population Standard Deviation 1.4 years
Women:Sample size 85 Sample mean: 8.4 years Population Standard Deviation: 1.5 years
a) State the appropriate null and alternative hypotheses to determine whether there is a significant difference in time to completion of medical school between women and men
b) Perform the appropriate test of hypothesis to determine whether there is a significant difference in time to completion of medical school between women and men. Test using α = 0.05.
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