In: Statistics and Probability
The travel-to-work time for residents of the 15 largest cities in the United States is reported in the 1998 Information Please Almanac. Suppose that a preliminary simple random sample of residents of San Francisco is used to develop a planning value of 6.25 minutes for the population standard deviation. If we want to estimate the population men travel-to-work time for San Francisco residents with a margin of error of 2 minutes, what sample size should be used? Assume a 95% confidence interval
We have given here,
Population standard deviation = 6.25
Margin of error =E=2
Level of significance =1-0.95=0.05
Z critical value is (by using Z table)=1.96
Sample size formula is
=37.52
Sample size |