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Songs on an iPod Davids iPod has about 10,000 songs. The distribution of the play times for these is heavily skewed to the right with a mean of songs 22-seconds and a standard deviation of 60 seconds. Suppose we choose an SRS of 10 songs from this popu- lation and calculate the mean play time i of these songs a) Identify the mean of the sampling distribution of x b) Calculate and interpret the standard deviation of the sampling distribution of x. Verify that the 10% condi- tion is met.
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Answer Date: 18/01/2019 a) The mean of the sampling distributionof sample means is, -225 The mean of the sampling distribution of sample means is 225 b) The standard deviation of the sampling distribution of sample means 1s 60 10 -18.97The standard deviation of the sampling distribution of sample means is 18.97 Interpretation of standard deviation The variation of play times for the sampling distribution of sample means songs is 18.97 The sample size is 10 which is 0.001% must be less than 10% of entire population condition is verified.

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