To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.Temperature 50°C60°C70°C 343225 243330 363630 392532 322933 Construct an analysis of variance table (to 2 decimals, if necessary).Source of VariationSum of SquaresDegrees of FreedomMean SquareFTreatments Error Total Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process.The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 10 What is your conclusion?SelectConclude that the mean yields for the three temperatures are not all equalConclude that the mean yields for the three temperatures are all equalItem 11

1. The analysis of variance table is constructed below: Excel Procedure: Enter the data for 50C, 60C…

Answered: To study the effect of temperature on…

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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To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.

Temperature
	50°C	60°C	70°C
	34	32	25
	24	33	30
	36	36	30
	39	25	32
	32	29	33

Construct an analysis of variance table (to 2 decimals, if necessary).

Source of Variation Sum of Squares Degrees of Freedom Mean Square F

Treatments

Error

Total
Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process.

The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 10

What is your conclusion?
SelectConclude that the mean yields for the three temperatures are not all equalConclude that the mean yields for the three temperatures are all equalItem 11

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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