Answered: Let’s assume that weight is normally…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 5CR

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Question

Let’s assume that weight is normally distributed with a mean of 160 and a standard deviation

of 25 pounds. The middle 80% 0f all people lie between which two weights?

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.

Expert Solution

Step 1

Step-by-step procedure to obtain the middle 80% 0f all people lie between which two weights using MINITAB:

Choose Graph > Probability Distribution Plot choose View Probability > OK.
From Distribution, choose ‘Normal’ distribution.
Enter mean as 160 and Standard deviation as 25.
Click the Shaded Area
Choose Probability and Middle Tail for the region of the curve to shade.
Enter the Probability value as 10 and 0.10.
Click OK.

Output using the MINITAB software is given below:

Distribution Plot
Normal, Mean=160, StDev= 25
0.018
0.8
0.016
0.014
0.012
0.010
0.008
0.006
0.004
0.002
0.000
128.0
160
192.0
х
Density

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