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Note: Use Excel to perform ANOVA calculations for the following problems. You can use Excel to do other requirements as well. You need to report the relevant results only, e.g., ANOVA table, plots, and tests conclusions. The following links for videos show how to perform ANOVA in Excel: Problem 1: ANOVA, Problem 2: Two-Factor ANOVA. 1) It is suspected that the breaking strength of a synthetic fiber is related to the percentage of cotton in the fiber. Five levels of cotton percentage were used, and five replicates were run in random order, resulting in the following data. a) Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use α = 0.05. b) Plot the average tensile strength against cotton percentage and interpret the results. c) Analyze the residuals and comment on model adequacy. d) If (a) results in rejecting the null hypothesis, compare the means of the treatments graphically using the procedure described at class. What are your observations? Which cotton percentages result in higher/lower average tensile strength than other treatments? Tensile Strength Cotton (%) 15 7 8 15 11 9 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 7 10 11 15 11

Note: Use Excel to perform ANOVA calculations for the following problems. You can use Excel to do other requirements as well. You need to report the relevant results only, e.g., ANOVA table, plots, and tests conclusions. The following links for videos show how to perform ANOVA in Excel: Problem 1: ANOVA, Problem 2: Two-Factor ANOVA. 1) It is suspected that the breaking strength of a synthetic fiber is related to the percentage of cotton in the fiber. Five levels of cotton percentage were used, and five replicates were run in random order, resulting in the following data. a) Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use α = 0.05. b) Plot the average tensile strength against cotton percentage and interpret the results. c) Analyze the residuals and comment on model adequacy. d) If (a) results in rejecting the null hypothesis, compare the means of the treatments graphically using the procedure described at class. What are your observations? Which cotton percentages result in higher/lower average tensile strength than other treatments? Tensile Strength Cotton (%) 15 7 8 15 11 9 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 7 10 11 15 11

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Note: Use Excel to perform ANOVA calculations for the following problems. You can use Excel to do other requirements as well. You need to report the relevant results only, e.g., ANOVA table, plots, and tests conclusions. The following links for videos show how to perform ANOVA in Excel: Problem 1: ANOVA, Problem 2: Two-Factor ANOVA. 1) It is suspected that the breaking strength of a synthetic fiber is related to the percentage of cotton in the fiber. Five levels of cotton percentage were used, and five replicates were run in random order, resulting in the following data. a) Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use α = 0.05. b) Plot the average tensile strength against cotton percentage and interpret the results. c) Analyze the residuals and comment on model adequacy. d) If (a) results in rejecting the null hypothesis, compare the means of the treatments graphically using the procedure described at class. What are your observations? Which cotton percentages result in higher/lower average tensile strength than other treatments? Tensile Strength Cotton (%) 15 7 8 15 11 9 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 7 10 11 15 11
Transcribed Image Text:Note: Use Excel to perform ANOVA calculations for the following problems. You can use Excel to do other requirements as well. You need to report the relevant results only, e.g., ANOVA table, plots, and tests conclusions. The following links for videos show how to perform ANOVA in Excel: Problem 1: ANOVA, Problem 2: Two-Factor ANOVA. 1) It is suspected that the breaking strength of a synthetic fiber is related to the percentage of cotton in the fiber. Five levels of cotton percentage were used, and five replicates were run in random order, resulting in the following data. a) Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use α = 0.05. b) Plot the average tensile strength against cotton percentage and interpret the results. c) Analyze the residuals and comment on model adequacy. d) If (a) results in rejecting the null hypothesis, compare the means of the treatments graphically using the procedure described at class. What are your observations? Which cotton percentages result in higher/lower average tensile strength than other treatments? Tensile Strength Cotton (%) 15 7 8 15 11 9 20 12 17 12 18 18 25 14 18 18 19 19 30 19 25 22 19 23 35 7 10 11 15 11
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