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The mean number of hours of part-time work per week for a sample of 526526 college students is 2828. If the margin of error for the population mean with a 99%99% confidence interval is 2.22.2, construct a 99%99% confidence interval for the mean number of hours of part-time work per week for all college students.

User Antiblank
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Answer:

The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.

Explanation:

A confidence interval has the following format.


\mu_(x) \pm M

In which
\mu_(x) is the mean of the sample and M is the margin of error.

In this problem, we have that:


\mu_(x) = 28, M = 2.2


\mu_(x) - M = 28 - 2.2 = 25.8


\mu_(x) + M = 28 + 2.2 = 30.2

The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.

User Henry Navarro
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