Smaller of U1 and U2-A small study (n-10) is designed to assess if there is an association between smokingin pregnancy and low birth weight. Low birth weight babies are those born less than5.5 pounds. The following data represent the birth weights, in pounds, of babies bornto mothers who reported smoking in pregnancy and those who did not.1.Based on comparing the Smaller of Ui and U2 to the Critical value which of thefollowing is (are) true?Mother smoked in pregnancyMother did not smoke during pregnancy 5.1A. There is significant evidence at alpha -0.05 to show that the populations of birth5.0 4.2 4.8 3.3 3.95.35.4weights in mothers who smoked in pregnancy and those who did not are notequal.4.94.6Is there a significant difference in birth weights between mother who smoked duringpregnancy and those who did not? Apply the Mann Whitney U Test at a 5% level ofsignificanceB. There is not significant evidence at alpha-0.05 to show that the populations ofbirth weights in mothers who smoked in pregnancy and those who did not arenot equal.C. There are not enough data points to reach a conclusion.D. The tied value makes the analysis suspectComplete the table below.Total Sample (OrderedSmallest to LargestRanksMotherSmoked Did NotaPregnancy Smoke in nMotherRSmoked Did Not SmokedDid NotSmokeSmokePregnanc5.04.24.83.33.94.95.44.644.6102. cont.AlphaCritical value U-

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Asked Apr 27, 2019
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Smaller of U1 and U2-
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.
1.
Based on comparing the Smaller of Ui and U2 to the Critical value which of the
following is (are) true?
Mother smoked in pregnancy
Mother did not smoke during pregnancy 5.1
A. There is significant evidence at alpha -0.05 to show that the populations of birth
5.0 4.2 4.8 3.3 3.9
5.3
5.4
weights in mothers who smoked in pregnancy and those who did not are not
equal.
4.9
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
B. 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.
C. There are not enough data points to reach a conclusion.
D. The tied value makes the analysis suspect
Complete the table below.
Total Sample (Ordered
Smallest to Largest
Ranks
Mother
Smoked Did Nota
Pregnancy Smoke in n
MotherRSmoked Did Not SmokedDid Not
Smoke
Smoke
Pregnanc
5.0
4.2
4.8
3.3
3.9
4.9
5.4
4.6
4
4.6
10
2. cont.
Alpha
Critical value U-
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Smaller of U1 and U2- 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. 1. Based on comparing the Smaller of Ui and U2 to the Critical value which of the following is (are) true? Mother smoked in pregnancy Mother did not smoke during pregnancy 5.1 A. There is significant evidence at alpha -0.05 to show that the populations of birth 5.0 4.2 4.8 3.3 3.9 5.3 5.4 weights in mothers who smoked in pregnancy and those who did not are not equal. 4.9 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 B. 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. C. There are not enough data points to reach a conclusion. D. The tied value makes the analysis suspect Complete the table below. Total Sample (Ordered Smallest to Largest Ranks Mother Smoked Did Nota Pregnancy Smoke in n MotherRSmoked Did Not SmokedDid Not Smoke Smoke Pregnanc 5.0 4.2 4.8 3.3 3.9 4.9 5.4 4.6 4 4.6 10 2. cont. Alpha Critical value U-

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Expert Answer

Step 1

Solution

The study is designed to test whether there is an association between smoking in pregnancy and low birth weight.  Here, the observations are continuous but sample sizes (n1 = n2 = 5) are small. Thus, the nonparametric test is appropriate.

Here, the study is testing whether there is a significant difference in birth weights between mother who smoked during pregnancy and those who did not.

Therefore, the null and alternative for the test is stated as below.

H0: The two population medians are equal.

H1: The two population medians are not equal.

Step 2

To conduct the test, we have to assign ranks to the data. The first step to assign the ranks is to order the data from smallest to largest. This is done on the combined sample, pooling the data from the two groups, and assigning ranks from 1 to 10. This is showed in the table below.

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Step 3

The test statistic for the Mann Whitney U Test is denoted U an...

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