Explanation The given area between z 0 and z = − 0.5 is 0.2345. Software procedure: Step-by-step procedure to obtain the probability using the MINITAB software: Choose Graph > Probability Distribution Plot choose View Probability> OK. From Distribution , choose ‘ Normal ’ distribution. Enter the Mean as 0.0 and Standard deviation as 1.0 . Click the Shaded Area tab. Choose Probability and Middle for the region of the curve to shade. Enter Probability 1 as 0.074 which is (0.3085 – 0.2345). Enter Probability 2 as 0.6915 which is (1-0.3085). Click OK. Output using the MINITAB software is given below: From MINITAB output, the z score value corresponds to the given shaded area 0

Elementary Statistics: A Step By Step Approach

9th Edition

ISBN: 9780073534985

Author: Allan Bluman

Publisher: McGraw-Hill Science/Engineering/Math

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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 6.1, Problem 55EC

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The z0 value.

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Chapter 6.1, Problem 54EC

Chapter 6.1, Problem 56EC

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Elementary Statistics: A Step By Step Approach

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The z 0 value.

Solution Summary: The author explains how to determine the z_0 value using the MINITAB software. The z score corresponds to the given shaded area 0.2345 is 0.1080.

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