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UTM Anova: Single Factor Groups UTM Average Variance Plain Blend 1 Count Sum Plain Blend 2 84.6 UTM UTM UT Plain Blend 3 16.9 64.3 1.58 UTM 16.9 Plain Blend 4 16.1 4 67.4 0.80 Plain Blend 5 97.9 0.50 ANOVA 16.3 70.3 1.63 UTM Source of Variation UTM UT 14.1 UTM 0.37 Between Groups Within Groups UTM MS df 26.6 F Total UTM UT 46.4 i. State two assumptions used when performing a one-way ANOVA. UTM ii. Calculate the respective values for a1, a1, a3, and 4 in the ANOVA table OUTM above. Show your working. UTM UTM UT UTN UT ii. Using your answer obtained in part (ii), can you conclude that paint blends UTM UTN have any significant effect on the hardness of metal at 5% level of significance? UTM CUTM UTM Justify your answer by carrying out the appropriate hypothesis test. UTM UT iv. Suppose more samples are added to the study and the p-value is found to be UT TM 0.35. Will you change the conclusion you have obtained in part (iii)? Explain and state your new conclusion if there is any. UTM

UTM Anova: Single Factor Groups UTM Average Variance Plain Blend 1 Count Sum Plain Blend 2 84.6 UTM UTM UT Plain Blend 3 16.9 64.3 1.58 UTM 16.9 Plain Blend 4 16.1 4 67.4 0.80 Plain Blend 5 97.9 0.50 ANOVA 16.3 70.3 1.63 UTM Source of Variation UTM UT 14.1 UTM 0.37 Between Groups Within Groups UTM MS df 26.6 F Total UTM UT 46.4 i. State two assumptions used when performing a one-way ANOVA. UTM ii. Calculate the respective values for a1, a1, a3, and 4 in the ANOVA table OUTM above. Show your working. UTM UTM UT UTN UT ii. Using your answer obtained in part (ii), can you conclude that paint blends UTM UTN have any significant effect on the hardness of metal at 5% level of significance? UTM CUTM UTM Justify your answer by carrying out the appropriate hypothesis test. UTM UT iv. Suppose more samples are added to the study and the p-value is found to be UT TM 0.35. Will you change the conclusion you have obtained in part (iii)? Explain and state your new conclusion if there is any. UTM

MATLAB: An Introduction with Applications
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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UTM QUESTION 2 UTM paint. Various were cured, and each sample was measured for hardness. The results from a one-way In a study, an engineer wants to compare the hardness of five blends of UTM samples of paint blends were each applied to a piece of metal. The pieces of metal UTM ANOVA analysis are partially displayed in the following table: 2 UTM UTM UTM TM &UTM Average Groups Plain Blend 1 Count Sum Plain Blend 2 Variance UTMUT 84.6 UTM UT 16.9 Plain Blend 3 64.3 1.58 UTM 4 Plain Blend 4 16.1 4 UTM 67.4 0.80 Plain Blend 5 16.9 6 97.9 0.50 ANOVA 16.3 UTM Source of Variation 70.3 1.63 UTM&UT 14.1 UTM 0.37 UTM MS Between Groups df Within Groups 26.6 F Total 46.4 i. State two assumptions used when performing a one-way ANOVA. UTM ii. Calculate the respective values for x1, x1, x3, and a4 in the ANOVA table UTM above. Show your working. UTM UT UTM UTM UTM have any significant effect on the hardness of metal at 5% level of significance? iii. Using your answer obtained in part (ii), can you conclude that paint blends UTM UTM Justify your answer by carrying out the appropriate hypothesis test. UTM UTM &UT iv. Suppose more samples are added to the study and the p-value is found to be 0.35. Will you change the conclusion you have obtained in part and state your new conclusion if there is any.
Transcribed Image Text:UTM QUESTION 2 UTM paint. Various were cured, and each sample was measured for hardness. The results from a one-way In a study, an engineer wants to compare the hardness of five blends of UTM samples of paint blends were each applied to a piece of metal. The pieces of metal UTM ANOVA analysis are partially displayed in the following table: 2 UTM UTM UTM TM &UTM Average Groups Plain Blend 1 Count Sum Plain Blend 2 Variance UTMUT 84.6 UTM UT 16.9 Plain Blend 3 64.3 1.58 UTM 4 Plain Blend 4 16.1 4 UTM 67.4 0.80 Plain Blend 5 16.9 6 97.9 0.50 ANOVA 16.3 UTM Source of Variation 70.3 1.63 UTM&UT 14.1 UTM 0.37 UTM MS Between Groups df Within Groups 26.6 F Total 46.4 i. State two assumptions used when performing a one-way ANOVA. UTM ii. Calculate the respective values for x1, x1, x3, and a4 in the ANOVA table UTM above. Show your working. UTM UT UTM UTM UTM have any significant effect on the hardness of metal at 5% level of significance? iii. Using your answer obtained in part (ii), can you conclude that paint blends UTM UTM Justify your answer by carrying out the appropriate hypothesis test. UTM UTM &UT iv. Suppose more samples are added to the study and the p-value is found to be 0.35. Will you change the conclusion you have obtained in part and state your new conclusion if there is any.
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