What is the z-score of sample X, if #n = 256, mu= 88, St. Dev. =128, and mu_X =104#?

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Answer 1 · 2016-11-27T12:30:05

THe z-score is #=2#

The z-score for a sample mean is

#z=(barx-mu)/(sigma/sqrtn)#

Here,

#barx=104#

#mu=88#

#sigma=128#

#n=256#

Therefore,

#z=(104-88)/(128/sqrt256)=16/(128/16)=16/8=2#