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In a random sample of 88 ​people, the mean commute time to work was 35.535.5 minutes...

In a random sample of

88

​people, the mean commute time to work was

35.535.5

minutes and the standard deviation was

7.37.3

minutes. A

9898​%

confidence interval using the​ t-distribution was calculated to be

left parenthesis 27.8 comma 43.2 right parenthesis(27.8,43.2).

After researching commute times to​ work, it was found that the population standard deviation is

8.78.7

minutes. Find the margin of error and construct a

9898​%

confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.

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