What is the z-score of sample X, if #n = 49, mu= 15, SD =35, and E[X] =38#?

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Answer 1 · 2016-12-20T06:30:30

The answer is #=3/5#

The z-score for a sample mean is

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

#barx=E[X] =38#

#mu=15#

#sigma=35#

#n=49#

Therefore,

#z=(38-35)/(35/sqrt49)#

#=3/(35/7)#

#=3/5#