Songs on an iPod David's iPod has about $10,000$ songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225 seconds and a standard deviation of $60 \mathrm{seconds}$. Suppose we choose an SRS of 10 songs from this population and calculate the mean play time $\overline{x}$ of these songs. What are the mean and the standard deviation of the sampling distribution of $\overline{x} ?$ Explain.
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The mean of the sampling distribution of $\overline{x}$ is equal to the mean of the population. So, the mean of the sampling distribution is 225 seconds. Show more…
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Sampling Distributions
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David's iPod has about 10,000 songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225 seconds and a standard deviation of 60 seconds. Describe the shape of the sampling distribution of x̄ for SRSs of size n=5 from the population of songs on David's iPod. Justify your answer.
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