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 inte…

Question

asked May 6, 2021 138k views

1 Answer

Henry Navarro · Answer 1 · 2021-05-12T10:23:53+0000

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.