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Question: What formula is used to gain information about a sample mean when the variable is normally distributed or when the sample size is 30 or more?


A ) z = X-μσ
B ) z = X-μσn
C ) z = X-μσn
D ) z = X-μσ

Steps to derive

1 z = X-μσ is used to gain information about an individual data value when the variable is normally distributed.

2 z = X-μσn is used to gain information when applying the central limit theorem about a sample mean when the variable is normally distributed or when the sample size is 30 or more.

3 Therefore, z = X-μσn is the correct choice.



Hence the right answer is Option B

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