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.

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.

In which is the mean of the sample and M is the margin of error.

In this problem, we have that:

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.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!