What is the z-score of sample X, if #n = 49, mu= 35, SD =105, and E[X] =39#?

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Answer 1 · 2016-11-29T15:12:35

The z-score is #=4/15#

The z-score for a sample mean is

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

#barx=E[X]=39#

#mu=35#

#sigma=105#

#n=49#

So,

#z=(39-35)/(105/sqrt49)#

#=4/(105/7)#

#=4/15#