8q3r4 Group 1 Group 2 2358 2548 2382 2574 2683 2439 2489 2499 2640 2579 2572 2361 2713 2567 2676 2601 2666 2344 A hospital wishes to justify the benefits of nutrition programs for pregnant women using birth weight data from newborns. The hospital hopes to show that the mean birth weight for newborns from mothers who complete the program is higher than the birth weight for newborns from mothers who do not complete the program. A group of 18 pregnant women were randomly divided into two groups; the first group received the nutrition program and the second group did not receive the program. The resulting weights (in grams) of the newborn babies from each group are shown below. Assume normality. Assignment 8q3 data a) Now, assuming equal variance, let u1 represent the mean associated with the nutrition program, and let u2 represent the mean associated with no nutrition program. What are the proper hypotheses? Ho: 1 H2 versus Ha: H1 = 2 Но: 11 %3D M2 versus Ha: Mi + 12 Но: М1 = 12 versus Ha: H1> H2 Но: М1 = 2 versus Ha: 1<2 b) What is the test statistic? Give your answer to four decimal places. 1.9081 X c) What is the P-value associated with the test statistic? Give your answer to four decimal places. d) What is the appropriate conclusion for the hospital using a 0.05 level of significance? 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 0.05 Fail 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 0.05 Fail 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 0.05. Reject the claim 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 0.05

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