What is the z-score of sample X, if #n = 54, mu= 11, St. Dev. =33, and mu_X =14.5#? Statistics Inference with the z and t Distributions One-sample z test 1 Answer Nallasivam V Nov 12, 2015 #z=0.78# Explanation: #SE =sigma/sqrtn=33/sqrt54=33/7.35=4.49# #z=(mu_x-mu)/(SE)=(14.5-11)/4.49=3.5/4.49=0.78# Answer link Related questions What does a z-test measure? What type(s) of distributions can a z-test be applied to? How do you calculate a z-score? What is the z-score of X, if n = 25, #mu= 60#, SD = 12, and X =58? What is the z-score of X, if n = 135, #mu= 70#, SD = 1, and X =75? What is the z-score of X, if n = 135, #mu= 74#, SD =3, and X =73? What is the z-score of X, if n = 4, #mu= 60#, SD =3, and X =60? What is the z-score of X, if n = 3, #mu= 55#, SD =2, and X =56? What is the z-score of X, if n = 57, #mu= 35#, SD =5, and X =13? What is the z-score of X, if n = 72, #mu= 137#, SD =25, and X =13? See all questions in One-sample z test Impact of this question 1415 views around the world You can reuse this answer Creative Commons License