A small study (n=10) is designed to assess if there is an association between sm
ID: 3128167 • Letter: A
Question
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=____
2. 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.
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=____
Explanation / Answer
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
1
4.2
4.9
2
3.9
2
4.8
5.3
3
4.2
3
3.3
5.4
4
4.6
4
3.9
4.6
5
4.8
5
6
4.9
6
7
5
7
8
5.1
8
9
5.3
9
10
5.4
10
R1= 18
R2= 37
2. Alpha = 0.05
N1 =5
N2 =5
Critical value of U = 2
Smaller of U1 and U2 = 3
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
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
1
4.2
4.9
2
3.9
2
4.8
5.3
3
4.2
3
3.3
5.4
4
4.6
4
3.9
4.6
5
4.8
5
6
4.9
6
7
5
7
8
5.1
8
9
5.3
9
10
5.4
10
R1= 18
R2= 37
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