# Calculation of Z score using the standard normal

Consider a population with m(mean)=93.3 and s(standard deviation)=5.27

(A) Calculate the z-score for x =94.9 from a sample of size 12.

(B) Could this z-score be used in calculating probabilities using a standard normal distribution table? Why or why not?

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This solution is comprised of a detailed explanation of standard normal distribution or z score. In this solution, step-by-step explanation of this complicated topic provides students with a clear perspective of standard normal distribution to find or calculate Z-score.

Standard Normal Distribution

A normal distributed population has a mean of 250 pounds and a standard deviation of 10 pounds. Given n = 20, what is the probability that this sample will have a mean value between 245 and 255 pounds?

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