Question

According to the central limit theorem, a sample mean distribution is aproximately a normal distribution ,...

According to the central limit theorem, a sample mean distribution is aproximately a normal distribution , what are the mean and standard deviation of this normal distribution ?

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Answer #1

Solution :

Given that ,

According to the central limit theorem,

mean =

standard deviation =

n = sample size

sample distribution of sample mean is ,

=

sampling distribution of standard deviation

=  / n

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