F I L E According to th e C enter for Disease Control and Prevention, life expectancy at ag e 65 in America is ab o u t 18.7 years. Medical researchers have argued th a t while excessive drinking is detrim ental to health, drinking a little alcohol every day, especially wine, may be associated w ith an increase in life expectancy. O thers have also linked longevity w ith incom e and gender. The accom panying table show s a portion of data relating to th e length of life after 65, average incom e (in $1,000s) at a retirem ent ag e of 65, a "w om an"

dum m y, and th e average n u m b er of alcoholic drinks consum ed per day. The full data set can be found on th e text w ebsite, labeled Longevity.

Life Income (in $1,000) Woman Drinks 19.00 64 0 1 19.30 43 1 3

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20.24 36 1 0

a. Use th e data to m odel life expectancy at 65 on th e basis of Income, W oman, and Drinks.

b. C onduct a one-tailed test at α = 0.01 to d eterm in e if w om en live longer th an m en.

c. Estim ate th e life expectancy at 65 of a m an w ith an incom e of $40,000 and an alcoholic consum ption of tw o drinks per day; rep eat th e prediction for a w om an.