Junior wants to estimate the mean daily rate of absenteeism at his factory. He p

Question

Junior wants to estimate the mean daily rate of absenteeism at his factory. He plans to randomly select a certain number of days and count how many workers were absent on each of those days. A small preliminary study yielded a sample standard deviation of ± 5.0 persons per day. If he wants his 95% interval estimate of the population mean to have a margin of error of no greater than ± 1.0 person per day, how big a sample size (how many days) should be necessary?

At least ____________ days (round up to the nearest integer)

Explanation / Answer

ME = +/- 1 , s = 5

z value at 95% = 1.96

ME = z * ( s /sqrt(n))

1 = 1.96 * ( 5 / sqrt(n))

n = 96.04

At least 96 days

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