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The length, in words, of the essays written for a contest are normally distributed with a...

The length, in words, of the essays written for a contest are normally distributed with a population standard deviation of 442 words and an unknown population mean. If a random sample of 24 essays is taken and results in a sample mean of 1330 words, 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 the final answer to two decimal places.

Provide your answer below:

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