What is the z-score of sample X, if #n = 36, mu= 13.7, St. Dev. =21, and mu_X =9.9#?
1 Answer
Dec 3, 2016
#z=-6.55#
Explanation:
given -
#n=36#
#mu=13.7#
#SD=21#
#mu_x=9.9#
First calculate Standard Error
#SE=(SD)/n=21/36=0.58#
Then calculate
#z=(mu_x-mu)/(SE)=(9.9-13.7)/0.58=(-3.8)/0.58=-6.55#
#z=-6.55#
