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HLTH 501WEEK 6 PROBLEMSâ30 POINTS10 points each. Place answers in the following table:1.2.3.1. A company is evaluating the impact of a wellness program offered on-site as a meansof reducing employee sick days. A total of 8 employees agree to participate in theevaluation which lasts 12 weeks. Their sick days in the 12 months prior to the start ofthe wellness program and again over the 12 months after the completion of theprogram are recorded and are shown below. Is there a significant reduction in thenumber of sick days taken after completing the wellness program? Use the Sign Testat a 5% level of significance.Complete the table below.Employee12345678Sick Days Taken in12 Months Prior toProgram8641210862Sick Days Takenin 12 MonthsFollowingprogram765117431Difference(Reduction =Prior-After )(((((((())))))))Sign(((((((())))))))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 theCritical value which of the following is (are) true?A. There is statistically significant evidence at alpha=0.05 to show that the mediandifference (reduction) is positive.B. There is not statistically significant evidence at alpha=0.05 to show that themedian difference (reduction) is positive.Page 1 of 4HLTH 501C. 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 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.Mother smoked in pregnancy5.0Mother did not smoke during pregnancy 5.14.24.94.85.33.35.43.94.6Is 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 ofsignificance.Complete the table below.MotherSmoked inPregnancy5.04.24.83.33.9MotherDid NotSmoke inPregnancy5.14.95.35.44.6Rank12345678910Total Sample (OrderedSmallest to Largest)SmokedDid NotSmokeRanksSmokedDid NotSmokeR1=____R2=____3.34.62. cont.n1 (n 1 1)R 1 ________2n (n 1)U 2 n 1 n 2 2 2R 2 ________2U1 n1n 2Alpha= ________N1= ________Page 2 of 4HLTH 501N2= ________Critical value U= ________Smaller of U1 and U2 = ________Based on comparing the Smaller of U1 and U2 to the Critical value which of thefollowing is (are) true?A. There is significant evidence at alpha=0.05 to show that the populations of birthweights in mothers who smoked in pregnancy and those who did not are notequal.B. 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 suspect.3. An investigator wants to test if there is a difference in endotoxin levels in childrenwho are exposed to endotoxin as a function of their proximity to operating farms.The following are endotoxin levels in units per milligram of dust sampled fromchildrenâs mattresses, organized by childrenâs proximity to farms.Within 5 Miles5-24.9 Miles25-49.9 Miles50 Miles or More<5Miles5-24.9Miles25-49.9Miles5428373650+Miles62422919789070398165305053222827Total Sample (Ordered Smallest to Largest)<55-24.925-49.950+MilesMilesMilesMilesPage 3 of 4HLTH 501Apply the Kruskal Wallis test at a 5% level of significance.Alpha= ________df= ________Critical value= ________H= ________Based on comparing H to the critical value to the Critical value which of the following is(are) true?A. There is significant evidence at alpha=0.05 t o show that the populations ofendotoxin levels in children living varying distances from operating farms arenot equal.B. There is not significant evidence at alpha =0.05 to show that the populations ofendotoxin levels in children living varying distances from operating farms arenot equal.C. There are not enough data points to reach a conclusion.D. The tied value makes the analysis suspect.Page 4 of 4
