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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Songs on an iPod Refer to Exercise 49. (a) Explain why you cannot safely calculate the

Chapter 7, Problem 59

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QUESTION:

Songs on an iPod Refer to Exercise 49. (a) Explain why you cannot safely calculate the probability that the mean play time x is more than 4 minutes (240 seconds) for an SRS of 10 songs. (b) Suppose we take an SRS of 36 songs instead. Explain how the central limit theorem allows us to find the probability that the mean play time is more than 240 seconds. Then calculate this probability. Show your work.

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QUESTION:

Songs on an iPod Refer to Exercise 49. (a) Explain why you cannot safely calculate the probability that the mean play time x is more than 4 minutes (240 seconds) for an SRS of 10 songs. (b) Suppose we take an SRS of 36 songs instead. Explain how the central limit theorem allows us to find the probability that the mean play time is more than 240 seconds. Then calculate this probability. Show your work.

ANSWER:

Step 1 of 3

(a)

We cannot safely calculate the probability,because we do not know that the population is normally distributed and the sample size is less than ,thus the sampling distribution is not approximately normal.In Order to  determine the probability,we require that the sampling distribution is normal.

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