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# Sampling distribution of a sample mean

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CRA CDs Inc. wants the mean lengths of the "cuts" on a CD to be 145 seconds (2 minutes and 25 seconds). This will allow the disk jockeys to have plenty of time for commercials within each 10-minute segment. Assume the distribution of the length of the cuts follows the normal distribution with a population standard deviation of 10 seconds. Suppose we select a sample of 24 cuts from various CDs sold by CRA CDs Inc.

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

(e) What percent of the sample means will be greater than 138 but less than 150 seconds? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)

##### Solution Summary

A calculation of probability based on sampling distribution of sample proportion is given in the answers, which are in an attached Word file.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.