A study of commuting times reports the travel times to work of a random sample of 20 employed adults in New York State. The mean is x⎯⎯⎯ = 31.25 minutes and the sample standard deviation is s = 23.7 minutes. What is the standard error of the mean?

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Answer:

The standard error of the mean = 5.14 mins

Step-by-step explanation:

Number of random sample (n) = 20

Mean(X) = 31.25 mins

Standard deviation (α) = 23.7 mins

Standard error of mean =

standard deviation / √sample size

= 23.7/√20

= 23.7/4.4721

= 5.14 mins