Shape of distribution of sample mean for cd-s sold by cra

Reference no: EM13140180

CRA,CD's, Inc., wants the mean lenghts of the "cuts" on a CD to be 135 seconds (e minutes and 15 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 witha population standard deviation of 8 seconds. Suppose we select a sample of 16 cuts from various CD's sold by CRA CD's Inc.?

a) what can we say about the shape of the distribution of the sample mean?
b) what is the standard error of the mean?
c) what percent of the sample means will be greater thatn 140 seconds?
d) what percent of the sample means will be greater than 128 seconds?
e) what percent of the sample means will be greater than 128 but less than 140 seconds?

Reference no: EM13140180

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