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95% confidence interval about the population mean

The number of hours that a network server was down each month of the previous year is: 4, 4, 5, 1, 5, 1, 1, 2, 1, 2, 1, 2. Place a 95% confidence interval about the population mean number of down hours per month.

My thoughts:
mean = 29 / 12 = 2.4167

mean + Z(0.025) * s/sqrt(n)

mean - Z(0.025) * s/sqrt(n)

Solution Preview

It I correct that mean = 2.417
We need to compute the variance of the sample by:
Var = 1/(N-1)*∑(X-mean)^2 = 2.629
(where N = ...

Solution Summary

It shows how to calculate the 95% confidence interval about the population mean.

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