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In a random sample of 18 ​people, the mean commute time to work was 33.8 minutes...

In a random sample of 18 ​people, the mean commute time to work was 33.8 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 95​% confidence interval for the population mean μ. What is the margin of error of μ​? Interpret the results.

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Answer #1

from above margin of error =3.531

this tells us that we have 95% confidence that true population mean of commute time to work will be with in 3.53 minutes from the sample obtained.

or we have 95% confidence that true population mean of commute time to work is between 30.27 and 37.33 minutes

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