Question

10 points each. Place answers in the following table:1. 2.3.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. EmployeeSick Days Taken in 12 Months Prior to ProgramSick Days Taken in 12 Months Following programDifference (Reduction = Prior-After )Sign187(  )(  )266(  )(  )345(  )(  )41211(  )(  )5107(  )(  )684(  )(  )763(  )(  )821(  )(  )                                                                        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? There is statistically significant evidence at .05 to show that the median difference (reduction) is positive.There is not statistically significant evidence at .05 to show that the median difference (reduction) is positive.There are not enough data points to reach a conclusion.The tied value makes the analysis suspect.A small study () 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       3.9Mother did not smoke during pregnancy  5.1       4.9       5.3       5.4       4.6Is 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)RanksMother Smoked in PregnancyMother Did Not Smoke in PregnancyR
a
n
kSmokedDid Not SmokeSmokedDid Not Smoke5.05.113.34.24.924.85.333.35.444.63.94.65678910R₁R₂2. 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 .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 .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.An investigator wants to test if there is a difference in endotoxin levels in children who 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 from children’s mattresses, organized by children’s proximity to farms.Within 5 Miles                  54        62        78        90        70        5-24.9 Miles                      28        42        39        81        65        25-49.9 Miles                    37        29        30        50        53        50 Miles or More              36        19        22        28        27        Total Sample (Ordered Smallest to Largest)< 5 Miles5-24.9 Miles25-49.9 Miles50+ Miles< 5 Miles5-24.9 Miles25-49.9 Miles50+ MilesApply 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?

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