n a random sample of 8 ​people, the mean commute time to work was 34.5 minutes and the standard deviation was 7.4 minutes. A 98​% confidence interval using the​ t-distribution was calculated to be (26.7,42.3). After researching commute times to​ work, it was found that the population standard deviation is 8.8 minutes. Find the margin of error and construct a 98​% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results. Question content area bottom Part 1 The margin of error of μ is enter your response here . ​(Round to two decimal places as​ needed.)

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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
7.4
minutes. A
98​%
confidence interval using the​ t-distribution was calculated to be
(26.7,42.3).
After researching commute times to​ work, it was found that the population standard deviation is
8.8
minutes. Find the margin of error and construct a
98​%
confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.
 
 
 

Question content area bottom

Part 1
The margin of error of
μ
is
enter your response here
 
.
​(Round to two decimal places as​ needed.)
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