Supervisor Kenneth Peterson wants to determine the percent of time a machine in

Question

Supervisor Kenneth Peterson wants to determine the percent of time a machine in his area is idle. He decides to use work? sampling, and his initial estimate is that the machine is idle 18?% of the time. ?(Round all intermediate calculations to at least two decimal places before proceeding with further? calculations.) The number of observations that need to be taken by Peterson to be 98.00?% confident that the results will be less than 5?% from the true result? = nothing ?(round your response to the immediate higher whole? number).

Explanation / Answer

Confidence Interval = 98%

Z = 2.33

Error Acceptable= e = 5% = 0.05

Initial Probability of System Remaining Idle = p = 18% = 0.18

Initial Probability of System Remaining Idle = q = 82% = 0.82

Sample Size = (p*q*Z2)/e2 = (0.18*0.82*2.33*2.33)/(0.05*0.05) = 320.523 ~ 321

321 samples should be taken.

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