A representative sample of students enrolled in online sections of STAT 200 was

Question

A representative sample of students enrolled in online sections of STAT 200 was surveyed. At the beginning of the semester each student was asked how many hours per week they plan to spend on the course. Minitab was used to construct a confidence interval:

One-Sample T: Hours per Week on Coursework

Variable -----------------------N-----Mean----StDev----SE------Mean 95% CI

Hrs per week on course-----509---9.242----4.418----0.196----(8.857, 9.626)

A) Write an interpretation of the confidence interval.

B) Is there evidence that the mean in the population is different from 10 hours per week? Explain why or why not.

Explanation / Answer

(A)
The confidence interval of (8.857, 9.626) indicates that if repeated samples of size 509 are taken from the population, there is 95% chance that mean of this sample would fall between 8.857 and 9.626

(B)
There is strong evidence that the mean in the population is different from 10 hours per week. Because the mean value of 10 hours does not fall within the confidence interval of (8.857, 9.626)

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