Question

The mean number of hours a Filipino worker spends on the computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hour and is normally distributed, how long does a worker spend on the computer if his z-score is 1.2?

2. Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. Determine the z-score of a household that generates 22 pounds of newspaper.

Answer 1

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.\mu=3.1hrs, \sigma=0.5hrs, z=1.25μ=3.1hrs,σ=0.5hrs,z=1.25

Then x=\mu+z\times \sigma=3.1+1.25\times 0.5=3.725x=μ+z×σ=3.1+1.25×0.5=3.725 hrs

Hence The worker spend 3.275hrs on the computer

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