Agency RST tracked the number of hours employees exercised last week (mean=35, S

Question

Agency RST tracked the number of hours employees exercised last week (mean=35, SD=4.8). Show all your calculations for each item below. No credit will be given without this information.

a.   How many hours did an employee with a z–score of –2.1 exercise? Round your answer to the nearest whole number (re: no decimals)

b.   What percentage of employees exercised between 27 and 44 hours? Round your answer to the nearest whole number (re: no decimals).

c.   How many hours did an employee who scored 2.5 SD below the mean exercise? Round your answer to the nearest whole number (re: no decimals).

d.   What percentage of employees exercised between 33 and 37 hours? Round your answer to the nearest whole number (re: no decimals).

Explanation / Answer

Mean is 35 and s is 4.8. z is (x-mean)/s

a) answer is mean+z*s=35-2.1*4.8=24.92 =25

b) P(27<x<44) =P((27-35)/4.8<z<(44-35)/4.8)=P(-1.67<z<1.88)=P(z<1.88)-(1-P(z<1.67)) form normal distribution table we get 0.9699-(1-0.9525)=0.9224

c) answer is =35-2.5*4.8=23

d) P(33<x<37)=P((33-35)/4.8<z<(37-35)/4.8)=P(-0.42<z<0.42)=2*P(z<0.42)-1 =2*0.6628-1=0.3256

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