Question

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.

Answer 1

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.