What is the z-score of sample X, if #n = 100, mu= 61, St. Dev. =43, and E[X] =98#?

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Answer 1 · 2016-11-15T15:40:31

The z-score is #=8.6#

The z-score for a sample mean is calculated by the formula

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

#barx=E(x)=98#

#mu=61#

#sigma=43#

#n=100#

Therefore, #z=(98-61)/(43/sqrt100)#

#=37/4.3=8.6#