Question

In: Statistics and Probability

The travel-to-work time for residents of the 15 largest cities in the United States is reported...

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

Solutions

Expert Solution

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

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