Shape of the distribution of the sample mean time

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Majesty Video Production Inc. wants the mean length of its advertisements to be 27 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 15 ads produced by Majesty.

a. What can we say about the shape of the distribution of the sample mean time?

The distribution will be ______

b. What is the standard error of the mean time? (Round your answer to 2 decimal places.)

standard error_______

c. What percent of the sample means will be greater than 28.50 seconds? (Round your z values and final answers to 2 decimal places.)

Percent of sample means_______

d. What percent of the sample means will be greater than 26.25 seconds? (Round your z values and final answers to 2 decimal places.)

Percent of sample means________

e. What percent of the sample means will be greater than 26.25 but less than 28.50 seconds? (Round your z values and final answers to 2 decimal places.)

Percent of sample means _________

Reference no: EM131970446

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