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A tablet PC contains 3217 music files. The distribution of file size is highly skewed with many small file sizes. Assume that the standard

 

A tablet PC contains 3217 music files. The distribution of file size is highly skewed with many small file sizes. Assume that the standard deviation for this population is 3.25 megabytes (MB). Suppose that the true mean file size of the music and video files on the tablet is 2.35 MB and you plan to take an SRS of n=50 files. a. Explain why it may be reasonable to assume that the average x is approximately Normal even though the population distribution is highly skewed. b. Sketch the approximate Normal curve for the sample mean, making sure to specify the mean and standard deviation. e. What is the probability that your sample mean will differ from the population mean by more than 0.15 MB?

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