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A random sample of size 64 is taken from a population with mean µ = 17...

A random sample of size 64 is taken from a population with mean µ = 17 and standard deviation σ = 16. What are the expected value and the standard deviation for the sampling distribution of the sample mean?

17 and 2, respectively.

17 and 64, respectively.

17 and 16, respectively.

17 and 1, respectively.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean = = 17

standard deviation = = 16

n = 64

sampling distribution of sample mean = = 17

sampling distribution standrad deviation = = / n = 16/ 64 = 2

correct answer=17 and 2, respectively.

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