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How many total samples are required for a time study if Acme wishes to be within...

How many total samples are required for a time study if Acme wishes to be within 0.23 of the mean 95% of the time. The average time for the job is 3 minutes with a standard deviation sigma 0.92. Enter number studies rounded to nearest integer

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ANSWER::

σ = 0.92 , E = 0.23 , α = 0.05

E = zα/2 * σ/ n

0.23 = 1.645 * 0.92/ n

n = 1.5134 / 0.23

n  = 6.58

n = 6.582

n = 43.2964

n = 43

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