The length, in words, of the essays written for a contest are normally distributed with a population standard deviation of 442 and an unknown population mean. If a random sample of 24 essays is taken and results in a sample mean of 1330 , find a 99% confidence interval for the population mean.

z0.10	z0.05	z0.025	z0.01	z0.005
1.282	1.645	1.960	2.326	2.576

You may use a calculator or the common z values above.

• Round each number to three decimal places, if necessary.