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 1589 views around the world You can reuse this answer Creative Commons License