Majesty Video Production Inc. wants the mean length of its advertisements to be 24 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 12 ads produced by Majesty. What can we say about the shape of the distribution of the sample mean time?
a) What can we say about the shape of the distribution of the sample mean time? Normal, skewed?
b)What is the standard error of the mean time? (Round your answer to 2 decimal places.)
c)What percent of the sample means will be greater than 25.50 seconds? (Round your z values and final answer to 2 decimal places.)
d)What percent of the sample means will be greater than 22.25 seconds? (Round your z values and final answer to 2 decimal places.)
e)What percent of the sample means will be greater than 22.25 but less than 25.50 seconds? (Round your z values and final answer to 2 decimal places.)
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