A random sample of size n = 49 is selected from a population with mean μ = 54 and standard deviation σ = 14. What will be the mean and standard deviation of the sampling distribution of x?
Solution :
Given that ,
mean = = 54
standard deviation = = 14
n = 49
sample distribution of sample mean is ,
=
= 54
sampling distribution of standard deviation
= / n = 14 / 49
= 2
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