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 14 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.
Group 1 Group 2
2496 2626
2466 2411
2767 2551
2672 2387
2820 2668
2574 2464
2563 2473
a) Perform a test on variances where H0: σ12 = σ22 versus Ha: σ12 ≠ σ22 and report your p-value to four decimal places.
b) Already solved, H0: μ1 = μ2 versus Ha: μ1 > μ2
c) What is the test statistic? Give your answer to four decimal places.
d) What is the P-value associated with the test statistic? Give your answer to four decimal places.
e) What is the appropriate conclusion for the hospital using a 0.1 level of significance?
-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 0.1.
-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 0.1.
-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 0.1.
-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 0.1.
