SOLUTION: As a part of the productivity assessment at a company, the HR Manager carried out a survey and found that inclusive of overtime the amount of time spent at work per week follow

Question 910843: As a part of the productivity assessment at a company, the HR
Manager carried out a survey and found that inclusive of overtime the
amount of time spent at work per week follows a normal distribution
with μ=47 hours and σ2=4.
a. If persons in the top 2 percentile are considered workaholics,
what is the least amount of time these persons work per week?
b. Calculate the probability that X≤40
c. Find the range that is likely to contain 95% of the data distributed
symmetrically around the mean.
d. Determine the probability that the length of the work week is
between 45 and 55 hours
e. What is the probability that the work week is less than 42 or
greater than 49 hours?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
μ=47 hours and σ2=4.
a. 4invNorm(.98) + 47 = X,least amount of time these persons work per week
b.P(x ≤ 40) = normalcdf(-100,40,47,4)
c. 4invNorm(2.5)+47 = Xlow and 4invNorm(97.5) + 47 = Xhigh
c. P(45 < x < 55) = normalcdf(45,55,47,4)
e. normal(-100,42,47,4) + (49,100,47,4)
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