What is the z-score of sample X, if #n = 121, mu= 33, St. Dev. =110, and E[X] =32#?

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Answer 1 · 2016-12-01T20:29:30

The z-score is #=-0.1#

The z-score for a sample mean is given by

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

#barx=E[X]=32#

#mu=33#

#sigma=110#

#n=121#

#z=(32-33)/(110/sqrt121)=-1/(110/11)=-1/10=-0.1#