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The lengths of text messages are normally distributed with a population standard deviation of 6 characters and an unknown population mean. If a random sample

The lengths of text messages are normally distributed with a population standard deviation of 6 characters and an unknown population mean. If a random sample of 27 text messages is taken and results in a sample mean of 29 characters, find a 95% confidence interval for the population mean. Round your answers to two decimal places.

z0.10 z0.05 z0.04 z0.025 z0.01 z0.005
1.282 1.645 1.751 1.960 2.326 2.576

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

Select the correct answer below:

A. (26.74,31.26)

B. (26.98,31.02)

C. (27.52,30.48)

D. (27.10,30.90)

E. (26.03,31.97)

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