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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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Hi I know that you can’t answer all questions. Can you just answer question 21 please.

Transcribed Image Text:Use the following scenario to answer questions 18-25: Battery life of MP3 players is of great concern to customers. A consumer group has tested four brands of such players to determine the battery life. Samples of players of each brand were fully charged and left to run at medium volume until the battery died. The number of hours that each player ran was recorded. The following graphs and tables from the analysis of the data are provided: 34 32 30- 28- e26 26- 24- 22- 20- 18- 16 Brand A Brand B Brand C Brand D Brands Means and Std Deviations Brand Number Mean Std Dev A 14 24.63 4.22 В 15 27.71 2.74 14 24.87 2.95 D 11 27.32 3.06 Analysis of Variance Source DF F Ratio P-value Sum of Squares Mean Square 107.022 10.865 Brands 3 35.674 ** Егror 50 543.273 Total 53 650.295 18. What conclusion might one draw by looking at the side-by side boxplots? The ANOVA assumption of Normality of the data is satisfied. The population means certainly are different. A) B) C) There is insufficient data to justify reaching any conclusion here. There is different variability from brand-to-brand but not enough difference to raise concern about the common variance ANOVA assumption. The consumer group should look at the Normal quantile plot to verify the common variance assumption. D) E) Answer: How many degrees of freedom are there for Error (DFE) and what is the value of the MSE? 19. A) DFE = 51: MSE = 10.65 B) DFE = 49: MSE = 11.09 C) DFE - 51: MSE = 10.87 D) DFE = 50: MSE = 12.27 E) DFE = 50: MSE = 10.87 Answer: 20. To test the ANOVA null hypothesis Ho: = 4: = 2]= H, , what are the test statistic and its associated P-value? A) F(3, 50) = 3.28; 0.01 <P<0.025 B) F(3, 50) = 2.91; 0.02 < P<0.05 F(4, 49) = 3.28; 0.01 <P<0.025 F(3, 50) = 3.28; 0.025 <P< 0.05 F(4, 50) - 2.91; 0.025 < P<0.0s C) D) E) Answer: Bonus Points 21. What conclusion might you reach based on these analyses? There is no evidence to suggest that the null hypothesis should be rejected. There is evidence to support the conclusion that all the population means are different. A) B) C) There is sufficient evidence to conclude that the sample means are not equal. There is sufficient evidence to conclude that not all the population means are equal. It would be dangerous to conclude anything because the sample sizes are small and some of the ANOVA assumptions are not satisfied. D) E) Answer: 22. Because one of the brands of MP3 players (Brand B) is known to be the most HTH HOH

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