1) The Health Department of Broken Branch, Idaho, kept records of employees abse

Question

1) The Health Department of Broken Branch, Idaho, kept records of employees absences over 10 years. Based on a sample of 100 emplyees, the department found that the mean number of absenses per employee for medical reasons was 4.4 days per year, with a standard deviation of 1.2. Assuming a normal distribuation: (a) what is the Z score for 3 days absent? 5 days absent; (b) what proporation of employees have between 4.4 and 5 days absence. What proporation between 3 and 4.4 days absence?

2) Assume the state of minnesota gives a paramedical certification test with a mean score of 70 and a standard devation of 10. The state of wisconsim gives a test with a mean score of 150 and a standard deviation of 30. Comapre a score of 82 on the Minnesota test with a score of 185 on the Wisconsin test. If a passing score in Minnesota is .5 standard deviation above the mean, what is the score? Which one is better? and explain what score is needed to pass in Minnesota?

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Explanation / Answer

1. Here mean=4.4 and sd=1.2

a. z score for x=3 is z=3-4.4/1.2=-1.167

for x=5, z=0.5

b. P(4.4<x<5)=P(4.4-4.4/1.2<z<5-4.4/1.2)=P(0<z<0.5)=0.1915

Similarly P(3<x<4.4)=P(-1.167<z<0)=0.3784

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