In a random sample of 8 ​people, the mean commute time to work was 34.5 minutes and the standard deviation was 7.3 minutes. A 90​% confidence interval using the​ t-distribution was calculated to be (29.6,39.4). After researching commute times to​ work, it was found that the population standard deviation is 9.7 minutes. Find the margin of error and construct a 90​% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results. The margin of error of μ is ___ A 90% confidence interval using the standard normal distribution is ( __ , __ )

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In a random sample of 8 ​people, the mean commute time to work was 34.5 minutes and the standard deviation was 7.3 minutes. A 90​% confidence interval using the​ t-distribution was calculated to be (29.6,39.4). After researching commute times to​ work, it was found that the population standard deviation is 9.7 minutes. Find the margin of error and construct a 90​% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.

The margin of error of μ is ___

A 90% confidence interval using the standard normal distribution is ( __ , __ )

 

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Givensample size(n)=8Mean(x)=34.5standard deviation(s)=7.3confidence level=90%90% confidence interval using the t-distribution was calculated to be (29.6,39.4)After researching commute times to work population standard deviation(σ)=9.7

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