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 33 31 21 23 32 26 35 35 26 38 24 28 31 28 29

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 12E
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How do i find the test statistic? I need help seeing the step by step or doing it in excel if that is where I do it!

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Hint(s) Check My Work
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
33
31
21
23
32
26
35
35
26
38
24
28
31
28
29
Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square
p-value
Treatments
93.33
2
46.67
2.37
.1354
Error
236
12
19.67
Total
329.33
14
Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.
Calculate the value of the test statistic (to 2 decimals).
3.89
The p-value is greater than 0.10
What is your conclusion?
Do not reject the assumption that the mean yields for the three temperatures are equal
Transcribed Image Text:Hint(s) Check My Work 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 33 31 21 23 32 26 35 35 26 38 24 28 31 28 29 Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Treatments 93.33 2 46.67 2.37 .1354 Error 236 12 19.67 Total 329.33 14 Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. Calculate the value of the test statistic (to 2 decimals). 3.89 The p-value is greater than 0.10 What is your conclusion? Do not reject the assumption that the mean yields for the three temperatures are equal
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