In a random sample of 27
people, the mean commute time to work was 34.9 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a t-distribution to construct a
95% confidence interval for the population mean μ. What is the margin of error of μ?
Interpret the results.
Question
Part 1
The confidence interval for the population mean
μ
is (….?, …?)
(Round to one decimal place as needed.)
Part 2
The margin of error of
μ
is ….?
(Round to one decimal place as needed.)
Part 3
Interpret the results.
A.
If a large sample of people are taken approximately 95% of them will have commute times between the bounds of the confidence interval.
B.
It can be said that 95% of people have a commute time between the bounds of the confidence interval.
C.
With 95% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.
D.
With 95% confidence, it can be said that the commute time is between the bounds of the confidence interval.