15 Jun Question CHAPTER PROBLEMS 6 Answer the following. (3 pts ea)
Question
CHAPTER PROBLEMS 6
Answer the following. (3 pts ea)
1. A company is evaluating the impact of a wellness program offered on-site as a means of reducing employee sick days. A total of 8 employees agree to participate in the evaluation which lasts 12 weeks. Their sick days in the 12 months prior to the start of the wellness program and again over the 12 months after the completion of the program are recorded and are shown below. Is there a significant reduction in the number of sick days taken after completing the wellness program? Use the Sign Test at a 5% level of significance.
Complete the table below.
Employee Sick Days Taken in 12 Months Prior to Program Sick Days Taken in 12 Months Following program Difference (Reduction = Prior-After )
Sign
1 8 7 ( ) ( )
2 6 6 ( ) ( )
3 4 5 ( ) ( )
4 12 11 ( ) ( )
5 10 7 ( ) ( )
6 8 4 ( ) ( )
7 6 3 ( ) ( )
8 2 1 ( ) ( )
Alpha= ________
n= ________
Critical value= ________
Smaller of the number of positive or negative signs= ________
Based on comparing the smaller of the number of positive or negative signs to the Critical value which of the following is (are) true?
A. There is statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive.
B. There is not statistically significant evidence at alpha=0.05 to show that the median difference (reduction) is positive.
C. There are not enough data points to reach a conclusion.
D. The tied value makes the analysis suspect.
?
2. 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?
A. 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.
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.
?
3. The recommended daily allowance of Vitamin A for children between 1 and 3 years of age is 400 micrograms (mcg). Vitamin A deficiency is linked to a number of adverse health outcomes including poor eyesight, susceptibility to infection, and dry skin. The following are Vitamin A concentrations in children with and without poor eyesight, a history of infection and dry skin.
With poor eyesight, a history 270 420 180 345 390 430
of infection and dry skin.
Free of poor eyesight, a history 450 500 395 380 430
of infection and dry skin.
Is there a significant difference in Vitamin A concentrations between children with and without poor eyesight, a history of infection and dry skin? Apply the Mann Whitney U Test a 5% level of significance.
Complete the table below.
Total Sample (Ordered Smallest to Largest) Ranks
With
infection Free of infection R
a
n
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