In: Math
DATA:
Group 1 Group 2
2563 2505
2810 2673
2643 2498
2690 2576
2702 2640
2594 2473
2602 2538
2809 2586
2769 2432
2513 2674
Question:
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 20 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.
a) Assuming equal variance, let μ1
represent the mean associated with the nutrition program, and let
μ2 represent the mean associated with no
nutrition program. What are the proper hypotheses?
b) What is the test statistic? Give your answer to four
decimal places.
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.
- 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.
- 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.