Females,on Average,are Shorter and Weigh Less Than Males

Essay

Females,on average,are shorter and weigh less than males.One of your friends,who is a pre-med student,tells you that in addition,females will weigh less for a given height.To test this hypothesis,you collect height and weight of 29 female and 81 male students at your university.A regression of the weight on a constant,height,and a binary variable,which takes a value of one for females and is zero otherwise,yields the following result: = -229.21 - 6.36 × Female + 5.58 × Height,R2=0.50,SER = 20.99
(43.39)(5.74)(0.62)
where Studentw is weight measured in pounds and Height is measured in inches (heteroskedasticity-robust standard errors in parentheses).
Calculate t-statistics and carry out the hypothesis test that females weigh the same as males,on average,for a given height,using a 10% significance level.What is the alternative hypothesis? What is the p-value? What critical value did you use?