Concept explainers
Tocalculate:The mean and the standard deviation of the sampling distribution of
Answer to Problem 49E
The required mean and standard deviation are 225 seconds and 18.9737 seconds respectively.
Explanation of Solution
Given information:
Number of songs in the iPod = 10,000
Mean = 225 seconds
Standard deviation = 60 seconds
Number of songs in SRS = 10
Formula used:
The mean of the sampling distribution of
The standard deviation of a sample distribution of the sample mean
Calculation:
Here, given data can be written as:
Mean,
Population standard deviation,
Sample size, n = 10
Know that the mean of the sampling distribution of
So, the mean of the sampling distribution of the sample mean
Also, the standard deviation of a sample distribution of the sample mean
Substitute 60 for
Hence, the required mean and standard deviation are 225 seconds and 18.9737 seconds respectively.
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The Practice of Statistics for AP - 4th Edition
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