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a. [14 Points] ASK YOUR TEACHER A hospital wishes to justify the benets or nutrition programs For pregnant women using birth weight data from newborns. The hospital hopes to show that the mean birth weight ror newborns Fmrri mothers who complete the program is higher than the birth weight ror newborns from mothers who do not complete the program. A group or 12 pregnant women were randomly divlded into two groups; the rst group received the nutntlon program and the second group did not receive the program. The resulting weights (in grams) oi the newborn babies from each group are shown below. Assume normality. Assignment Bias data a) Now, assuming equal variance, let uI represent the mean associated with the nutrition program, and let ; represent the mean associated with no nutrition program. what are the proper hypotheses? O [-19:14] = u} versus #13:\"I ( \"Z O H\": p, [11 versus Ha:y1 > #2 O H\": p] : \"1 versus HE: A 3 pl O H\": ii, u; versus Ha: at = #2 b) what is the test statistic? Give your answer to four decimal places E c) what is the F-value associated with the test statlstlc? Give your answer to four decimal places. E d) what is the appropriate conclusion for the hospital using a 0.1 level or significance? 0 Fall to reject the claim that the mean birth weight with the program is equal to the mean birth weight without the program because the P-value is greater than 0.1. O Reject the claim that the mean birth weight with the progiam is higher than the mean birth weight without the program bemuse the F-vaiue is less than 0.1. 0 Fall to reject the claim that the mean birth weight with the program is equal to the mean birth weight Without the program because the P-value is less than 0.1. o conclude that the mean birth weight with the program is higher than the mean birth weight without the program because the P-value is less than o.1