Explanation Approach: Assume a normal distribution has a mean of μ and a standard deviation of σ . We use the equation z = x − μ σ to convert a value x in the nonstandard distribution to a z -score. Given Information: The mean is 38, standard deviation is 10.3 and x = 48. Calculation: Substitute μ = 38 , σ = 10

6th Edition

ISBN: 9780134506470

Author: Pirnot

Publisher: PEARSON

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 14.4, Problem 39E

To determine

To find:

The z-score if mean is 38, standard deviation is 10.3 and x=48.

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Chapter 14.4, Problem 38E

Chapter 14.4, Problem 40E

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