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
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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