A glass manufacturing company wanted to investigate the effect of zone 1 lower temperature (630 vs. 650) and zone 3 upper temperature (695 vs. 715) on the roller imprint of glass. Zone 3 Upper Zone 1 Lower Roller Imprint 695 630 46 695 630 25 695 630 47 695 630 119 695 650 23 695 650 26 695 650 47 695 650 22 715 630 96 715 630 5 715 630 26 715 630 81 715 650 69 715 650 23 715 650 5 715 650 124 a. At the .05 level of significance, is there an interaction between zone 1 lower and zone 3 upper? Determine the test statistic. Fstat= Determine the p-value. p-value= b. At the .05 level of significance, is there an effect due to zone 1 lower? First, determine the hypotheses. Determine the test statistic. Fstat= Determine the p-value. p-value= c. At the .05 level of significance, is there an effect due to zone 3 upper? First, determine the hypotheses. Determine the test statistic. Fstat= Determine the p-value. p-value= d. Plot the roller imprint for each level of zone 1 lower for each level of zone 3 upper. Plot the mean roller imprints for a zone 3 upper temperature of 695 with a dashed line, and the mean roller imprints for a zone 3 upper temperature of 715 with a solid line.

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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A glass manufacturing company wanted to investigate the effect of zone 1 lower temperature (630 vs. 650) and zone 3 upper temperature (695 vs. 715) on the roller imprint of glass.

Zone 3 Upper Zone 1 Lower Roller Imprint
695 630 46
695 630 25
695 630 47
695 630 119
695 650 23
695 650 26
695 650 47
695 650 22
715 630 96
715 630 5
715 630 26
715 630 81
715 650 69
715 650 23
715 650 5
715 650 124

a. At the .05 level of significance, is there an interaction between zone 1 lower and zone 3 upper?

Determine the test statistic.

Fstat=

Determine the p-value.

p-value=

b. At the .05 level of significance, is there an effect due to zone 1 lower? First, determine the hypotheses.

Determine the test statistic.

Fstat=

Determine the p-value.

p-value=

c. At the .05 level of significance, is there an effect due to zone 3 upper? First, determine the hypotheses.

Determine the test statistic.

Fstat=

Determine the p-value.

p-value=

d. Plot the roller imprint for each level of zone 1 lower for each level of zone 3 upper.

Plot the mean roller imprints for a zone 3 upper temperature of 695 with a dashed line, and the mean roller imprints for a zone 3 upper temperature of 715 with a solid line.

12, 11.2.26-T

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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