Concept explainers
Tocalculate:The number of axles to sample if the standard deviation of the sampling distribution of
Answer to Problem 52E
The required number of axles to sample is 16.
Explanation of Solution
Given information:
Mean = 40.125 millimeters
Standard deviation = 0.002 millimeters
Number of axles = 4
Formula used:
The mean of the sampling distribution of
The standard deviation of a sample distribution of the sample mean
Calculation:
Here, number of axles 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 0.002 for
Simplify the above expression further.
Hence, the required number of axles to sample is 16.
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