A small study (n=10) is designed to assess if there is an association between smoking in pregnancy and low birth weight. Low birth weight babies are those born less than 5.5 pounds. The following data represent the birth weights, in pounds, of babies born to mothers who reported smoking in pregnancy and those who did not. Mother smoked in pregnancy 5.0 4.2 4.8 3.3 3.9 Mother did not smoke during pregnancy 5.1 4.9 5.3 5.4 4.6 Is there a significant difference in birth weights between mother who smoked during pregnancy and those who did not? Apply the Mann Whitney U Test at a 5% level of significance. Complete the table below. Total Sample (Ordered Smallest to Largest) Ranks Mother Smoked in Pregnancy Mother Did Not Smoke in Pregnancy Rank Smoked Did Not Smoke Smoked Did Not Smoke 5.0 5.1 1 3.3 4.2 4.9 2 4.8 5.3 3 3.3 5.4 4 4.6 3.9 4.6 5 6 7 8 9 10 R1=____ R2=____ cont. Alpha= ________ N1= ________ N2= ________ Critical value U= ________ Smaller of U1 and U2 = ________ Based on comparing the Smaller of U1 and U2 to the Critical value which of the following is (are) true? There is significant evidence at alpha=0.05 to show that the populations of birth weights in mothers who smoked in pregnancy and those who did not are not equal. There is not significant evidence at alpha =0.05 to show that the populations of birth weights in mothers who smoked in pregnancy and those who did not are not equal. There are not enough data points to reach a conclusion. The tied value makes the analysis suspect.

A small study (n=10) is designed to assess if there is an association between smoking in pregnancy and low birth weight. Low birth weight babies are those born less than 5.5 pounds. The following data represent the birth weights, in pounds, of babies born to mothers who reported smoking in pregnancy and those who did not. Mother smoked in pregnancy 5.0 4.2 4.8 3.3 3.9 Mother did not smoke during pregnancy 5.1 4.9 5.3 5.4 4.6 Is there a significant difference in birth weights between mother who smoked during pregnancy and those who did not? Apply the Mann Whitney U Test at a 5% level of significance. Complete the table below. Total Sample (Ordered Smallest to Largest) Ranks Mother Smoked in Pregnancy Mother Did Not Smoke in Pregnancy Rank Smoked Did Not Smoke Smoked Did Not Smoke 5.0 5.1 1 3.3 4.2 4.9 2 4.8 5.3 3 3.3 5.4 4 4.6 3.9 4.6 5 6 7 8 9 10 R1= R2= cont. Alpha= N1= N2= Critical value U= Smaller of U1 and U2 = ____ Based on comparing the Smaller of U1 and U2 to the Critical value which of the following is (are) true? There is significant evidence at alpha=0.05 to show that the populations of birth weights in mothers who smoked in pregnancy and those who did not are not equal. There is not significant evidence at alpha =0.05 to show that the populations of birth weights in mothers who smoked in pregnancy and those who did not are not equal. There are not enough data points to reach a conclusion. The tied value makes the analysis suspect.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A small study (n=10) is designed to assess if there is an association between smoking in pregnancy and low birth weight. Low birth weight babies are those born less than 5.5 pounds. The following data represent the birth weights, in pounds, of babies born to mothers who reported smoking in pregnancy and those who did not.

Mother smoked in pregnancy 5.0 4.2 4.8 3.3 3.9

Mother did not smoke during pregnancy 5.1 4.9 5.3 5.4 4.6

Is there a significant difference in birth weights between mother who smoked during pregnancy and those who did not? Apply the Mann Whitney U Test at a 5% level of significance.

Complete the table below.

			Total Sample (Ordered Smallest to Largest)	Ranks
Mother Smoked in Pregnancy	Mother Did Not Smoke in Pregnancy	R a n k	Smoked	Did Not Smoke	Smoked	Did Not Smoke
5.0	5.1	1	3.3
4.2	4.9	2
4.8	5.3	3
3.3	5.4	4		4.6
3.9	4.6	5
		6
		7
		8
		9
		10
					R₁=____	R₂=____

cont.

Alpha= ________

N₁= ________

N₂= ________

Critical value U= ________

Smaller of U₁ and U₂ = ________

Based on comparing the Smaller of U₁ and U₂ to the Critical value which of the following is (are) true?

There is significant evidence at alpha=0.05 to show that the populations of birth weights in mothers who smoked in pregnancy and those who did not are not equal.
There is not significant evidence at alpha =0.05 to show that the populations of birth weights in mothers who smoked in pregnancy and those who did not are not equal.
There are not enough data points to reach a conclusion.
The tied value makes the analysis suspect.

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