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.

1. 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.

1. 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?

1. 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.
2. 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. 
3. There are not enough data points to reach a conclusion.
4. The tied value makes the analysis suspect.