How many commuters must be randomly selected to estimate the mean driving time of chicago commuters? we want 95% confidence that
the samoke mean is within 4 minutes of the population mean, and the population standard deviation is known to be 10 minutes?
1 answer:
Margin of error is calculated using the following formula:
Margin error = Z-value*SD/Sqrt (N)
Where: Z -value at 95% confidence = 1.96; SD = Standard deviation = 10 minutes; N = Sample size; Margin error = 4 minutes
Substituting;
4 = 1.96*10/Sqrt (N)
Sqrt (N) = (1.96*10)/4 = 4.9
N = 4.9^2 = 24.01 ≈ 25
Therefore, 25 commuters will be selected at random to yield these results.
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