Objective: Use the Normal Probability Distribution to make decisions about a opulation. Scenario: An apparel company makes blue jeans and leather pants. . The female division. Female Data in inches 67.9 67.6 60.2 62.2 63.1 57.6 69.4 64.3 67.8 65.1 664 68.1 66.7 66.1 68.9 69.2 66.7 62.2 63.2 67.8 67.2 66.1 64.9 63.6 67.5 64.2 66.8 68.4 64.7 66.3 67.2 58.1
Objective: Use the Normal Probability Distribution to make decisions about a opulation. Scenario: An apparel company makes blue jeans and leather pants. . The female division. Female Data in inches 67.9 67.6 60.2 62.2 63.1 57.6 69.4 64.3 67.8 65.1 664 68.1 66.7 66.1 68.9 69.2 66.7 62.2 63.2 67.8 67.2 66.1 64.9 63.6 67.5 64.2 66.8 68.4 64.7 66.3 67.2 58.1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Do the female version
Transcribed Image Text:Objective: Use the Normal Probability Distribution to make decisions about a
population.
Scenario: An apparel company makes blue jeans and leather pants.
I. The female division.
Female Data in inches
68.9
67.8
67.9
66.4
66.1
66.8
64.7
68.1
69.2
66.7
63.1
57.6
67.8
65.1
66.1
66,7
64.9
67.6
63.6
67.5
60.2
69.4
68.4
62.2
67.2
58.1
66.3
64.2
62.2
64.3
67.2
63.2
A. Use the "Statistics" function of your calculator to find the sample mean and sample
standard deviation
for the data. (Round to tenths.)
1. Mean
Use these statistics (sample mean and sample standard deviation) as point estimates for
the population
parameters (population mean and population standard deviation) when calculating the
standard (z) scores.
2. Standard deviation
B. Use the Normal Probability Distribution table or the built-in functions of your calculator
to find:
1. What percent of female adults are taller than 6 feet (72 inches)?
2. What percent of female adults are taller than 5 feet (60 inches)?
3. What percent of female adult heights are between 60 inches and 72 inches?
C. Because of the high cost of leather, the company has decided they cannot profitably make
leather pants in all sizes.
Use the Normal Probability Distribution table or the built-in functions of your calculator
to find the heights
corresponding to the following percentages. These are the heights of the shortest and
tallest females who can
purchase leather pants from this company.
1. The bottom 8%
2. The upper 6%
II. The male division
Male Data in inches
68
65.5
65.1
68.1
72.5
65.5
65.4
72
71.2
67.7
73.5
77.2
67.2
67.7
65.3
73.2 62.5
70.5
66.7 67.5 70.2 67.4
71.8
65.1
66.3 69.3 67.7.
67
73.8 66.5
66.1
68.6
A. Use the "Statistics" function of your calculator to find the sample mean and sample
standard deviation
for the data. (Round to hundredths.)
1. Mean
Use these statistics (sample mean and sample standard deviation) as point estimates for
the population
parameters (population mean and population standard deviation) when calculating the
standard (z) scores.
2. Standard deviation
B. Use the Normal Probability Distribution table or the built-in functions of your calculator
to find:
1. What percent of male adults are shorter than 6 feet (72 inches)?
2. What percent of male adults are shorter than 5 feet (60 inches)?
3. What percent of male adult heights are between 60 inches and 72 inches?
C. Because of the high cost of leather, the company has decided they cannot profitably
make leather pants in all sizes.
Use the Normal Probability Distribution table or the built-in functions of your
calculator to find the heights
corresponding to the following percentages. These are the heights of the shortest and
tallest males who can
purchase leather pants from this company.
1. The bottom 9%
2. The upper 7%
Click on the hand to view the solutions using the Standard Normal Probability Table.
Select the TI-83 calculator to view how to use the built in Normal
Probability programs:
"normalcdf(" and "invNorm("
Expert Solution
Step 1
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A.
B using the 'statistics' function,
1. Sample mean is 65.5
2. Sample standard deviation is 3.000
B.
1.
The percent of female adults are taller than 6 feet(72 inches) is,
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