A hoepital wishes to justify the benefits of nutrition programs for pregnant women using birth weight deta from newborms. The hospital hopes to show that the meen birth weight for newborns from mothers who complete the program is higher than the birth weight for newboms trom mothars who co not complete the program. A group ot 12 pregnant women ware randomly divided into two groups; the first group recalved the nutrition program and the sacond group did not receive the program. The resuting waights (in grams) or the newborn bebies firom each group are shown below. Assume normality. Assignent Ba deta a) Perform a test on variances where Hgi = g versus Hy o= and report your p-velue to four decimal pleces. bị Now, assuming equal varlance, lat represant the mean associated with the nutrition program, and let , rapresent the maan assadated with no nutrition program. What are the proper hypothases? O He: P-P verus H > OHo: P-Hz versut H, P z O He: P - P2 verus O H: P-Plz versut H, c) What is the test statistic? Clve your anower to four docimal places. 4 What is the Pvalue associated with the test statistic? Give your ansner to four decimal places. c What is the aporopriate conclusion for the hospital using a 0.1 level of significance? OFail ta rejact the daim that the mean birth weight with the program is equal ta the mean bith weight without the program because the Pvalue is less than o.05. O Reject the clsim thet the mean binth weight with the progran is tiyher then the mean birth weight without the pragram becuse the Pvalae is less then 0.0s. O Conclude that the mean birth waight with the program is higher than the mean birth weight without the program because the P-value is les than 0.0s. O Fail to reject the daim 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.

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ISBN:9781119256830
Author:Amos Gilat
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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
newboms from mothars who do not complete the program. A group ot 12 pragnant women ware randomly divided into two groups; tha first group racaived the nutrition program and tha sacond group did not raceive the program. The resulting waights (in grams) of the
newborn babies from each group are shown below. Assume normality.
Assignment y3 data
a) Perform a test un variances where Hgi o = o versus Hai o, =0 and report your p-value to four decimal places.
bị Naw, assuming equal varianca, lat u rapresent the mean associated with the nutrition program, and lat , rapresent the mean assadiated with no nutrition program. What are the proper hypotheses?
O Hp: - z verRus H,: 1>
O Ha: a - Jlz versus H,: - ly
O Hp: - verRus H,: is
O Hg: Ha - lz versus H, - a
ci What is thc test statistic? Give vour angwer to four docimal places.
d What is the P-value associated with the test statistic? Give vour ansner to four decimal places.
c What is the appropriate conclusion for the hospital using a 0.1 level of significance?
O Fail ta reject the daim that the mean birth weight with the program is equal ta the mean birth weight without the program hecause the P-valua is less than D.05.
O 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.
O Conclude that the mean birth waight with the program is hiçher than the mean birth weight without the program because the P-value is less than 0.05.
O 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.
Group 1
Group 2
2574
2497
2572
2473
2512
2425
2672
2472
2605
2531
2649
2549
Transcribed Image Text: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 newboms from mothars who do not complete the program. A group ot 12 pragnant women ware randomly divided into two groups; tha first group racaived the nutrition program and tha sacond group did not raceive the program. The resulting waights (in grams) of the newborn babies from each group are shown below. Assume normality. Assignment y3 data a) Perform a test un variances where Hgi o = o versus Hai o, =0 and report your p-value to four decimal places. bị Naw, assuming equal varianca, lat u rapresent the mean associated with the nutrition program, and lat , rapresent the mean assadiated with no nutrition program. What are the proper hypotheses? O Hp: - z verRus H,: 1> O Ha: a - Jlz versus H,: - ly O Hp: - verRus H,: is O Hg: Ha - lz versus H, - a ci What is thc test statistic? Give vour angwer to four docimal places. d What is the P-value associated with the test statistic? Give vour ansner to four decimal places. c What is the appropriate conclusion for the hospital using a 0.1 level of significance? O Fail ta reject the daim that the mean birth weight with the program is equal ta the mean birth weight without the program hecause the P-valua is less than D.05. O 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. O Conclude that the mean birth waight with the program is hiçher than the mean birth weight without the program because the P-value is less than 0.05. O 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. Group 1 Group 2 2574 2497 2572 2473 2512 2425 2672 2472 2605 2531 2649 2549
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