In a random sample of
8
​people, the mean commute time to work was
35.5
minutes and the standard deviation was
7.3
minutes. A
98%
confidence interval using the​ t-distribution was calculated tobe
left parenthesis 27.8 comma 43.2 rightparenthesis(27.8,43.2).
After researching commute times to​ work, it was found that thepopulation standard deviation is
8.7
minutes. Find the margin of error and construct a
98%
confidence interval using the standard normal distribution withthe appropriate calculations for a standard deviation that isknown. Compare the results.
