If the standard deviation of the population which is normally distributed is 50 and the sample size is 16 then the standard deviation of the sampling distribution is*11.512.514.513.5
Question
If the standard deviation of the population which is normally distributed is 50 and the sample size is 16 then the standard deviation of the sampling distribution is*11.512.514.513.5
Solution
The standard deviation of the sampling distribution, also known as the standard error, can be calculated using the formula:
Standard Error = Population Standard Deviation / sqrt(Sample Size)
Given that the population standard deviation is 50 and the sample size is 16, we can substitute these values into the formula:
Standard Error = 50 / sqrt(16)
Solving the equation gives:
Standard Error = 50 / 4 = 12.5
So, the standard deviation of the sampling distribution is 12.5.
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