Concept explainers
Tocalculate:The number of songs to sample if the standard deviation of the sampling distribution of
Answer to Problem 51E
The required number of songs to sample is 4.
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, number of songs to sample is the
Also,
Population standard deviation,
Standard deviation of the sample,
It is known that the standard deviation of a sample distribution of the sample mean
To find the sample size, use the above formula.
Write the formula as:
Square the both sides of the above expression.
Substitute 60 for
Hence, the required number of songs to sample is 4.
Chapter 7 Solutions
The Practice of Statistics for AP - 4th Edition
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