Answered: A steel pipe company recently developed…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inch, and the distribution of outside diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below.

i Data Table
Full data set
Diameter
Diameter
Pipe Section (inches)
Pipe Section (inches)
1
2.03
16
1.96
2
2.14
17
1.88
3
2.07
18
1.99
4
1.99
19
2.14
5
1.91
20
1.91
2.07
21
1.91
7
2.19
22
1.96
8
2.02
23
2.18
9
2.05
24
1.94
10
1.99
25
1.93
11
1.94
26
2.08
12
1.91
27
1.82
13
2.09
28
1.94
14
2.03
29
1.96
15
2.11
30
1.81
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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.

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