Answered: An experiment was conducted to…

Name: Note : this is a single question having three subparts An experiment w
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Description: Note : this is a single question having three subparts An experiment was conducted to investigate the warping of copper plates. The two factors studied were the temperature and the copper content of the plates. The response variable was a measure of

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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Note : this is a single question having three subparts

An experiment was conducted to investigate the warping of copper plates. The two factors studied were the temperature and the copper content of the plates. The response variable was a measure of the amount of warping, with the following results.

a) Construct a 95% confidence interval for the mean amount of warping for the 40% copper content level.

b) Construct a 95% confidence interval for the difference in mean amounts of warping between the 40% and 100% copper content levels.

c) Construct a 95% confidence interval for the difference in mean amounts of warping between the 40% and 100% copper content levels at 75 ◦C.

Соpper Content (%)
Temperature (°C)
40
60
80
100
50
17, 20
16, 21
24, 22
28, 27
6
75
12, 9
18, 13
17, 12
27, 31
100
16, 12
18, 21
25, 23
30, 23
21, 17
23, 21
29, 31
29,
125
23, 22

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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