A study was done to estimate the mean commute time for a population of employed adults. A random sample of 25 employed adults in a particular city was taken, and the 95% confidence interval for mean commute time was calculated to be 34.42 ± 8.14 minutes. A councilman is advocating for road repairs and states that, in this city, people with jobs commute an average of 45 minutes to work each day. Does the confidence interval justify the councilman’s statement?
Answer
A
No, because 45 minutes is greater than the upper bound of the confidence interval.
B
Yes, because 45 minutes is greater than the upper bound of the confidence interval.
C
No, because the mean commute time from the 25 sampled adults was 34.42 minutes.
D
Yes, because there were almost certainly some people in the sample of 25 adults whose commute was greater than 45 minutes.