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valentinak56 [21]
3 years ago
8

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.
Mathematics
1 answer:
sveta [45]3 years ago
4 0

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.

Step-by-step 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.

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