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Confidence Interval Validity for Study Time of First Year Students

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A class survey in a large class for first year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 269 students was x (bar over the x) = 137 minutes. Suppose that we know that the study time follows a normal distribution with standard deviation = 65 minutes in the population of all first year students at this university.

A) Use the survey result to give a 99% confidence interval for the mean study time of all first year students.

B) What condition that is not yet mentioned must be met for the confidence interval to be valid?

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Solution Summary

The solution is given plainly and simply in an attached Excel file with the calculations open to view. It shows how to use the survey results to provide a 99% confidence interval for the mean study time of all of the students.

Solution Preview

Please see the attached file for the complete solution response.

(A) Data: (please see the attached file)

Standard Error, SE = σ/Ön = 3.9631
z- score = ...

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