What is the z-score of sample X, if #n = 67, mu= 38, St. Dev. =18, and mu_X =76#?

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Answer 1 · 2016-11-15T15:59:31

The z-score is #=17.3#

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

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

#barx=76#

#mu=38#

#sigma=18#

#n=67#

Therefore, the z-score #=(76-38)/(18/sqrt67)#

#=38/2.2=17.3#