Answered: Analyze the experimental data

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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Transcribed Image Text:(b) Analyze the experimental data using the ANOVA procedure for completely randomized designs. (Use a = 0.05.) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal. O Do not reject H,. There is sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal. O Reject H. There is sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal. O Do not reject Ho. There is not sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal. Compare your findings with those obtained in part (a). O The conclusion is the same as the conclusion in part (a). O The conclusion is different from the conclusion in part (a). What is the advantage of attempting to remove the block effect? O There is no advantage to removing the block effect because the conclusion is the same in either case. O we must remove the block effect in order to detect that there is a significant difference due to the brand of gasoline. O we must remove the block effect in order to detect that there is no significant difference due to the brand of gasoline.

Transcribed Image Text:You may need to use the appropriate technology to answer this question. A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Because of different gasoline performance characteristics in different brands of automobiles, five brands of automobiles are selected and treated as blocks in the experiment; that is, each brand of automobile is tested with each type of gasoline. The results of the experiment (in miles per gallon) follow. Gasoline Brands II III A 18 20 20 B 24 26 27 Automobiles 30 29 34 D 22 25 24 20 23 24 (a) At a = 0.05, is there a significant difference in the mean miles-per-gallon characteristics of the three brands of gasoline? State the null and alternative hypotheses. III = IIi = In :°H O H: Not all the population means are equal. O Ho: HI = HII HII O Ho: H1 + H1 * HII O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: Not all the population means are equal. H3: H = H1 - HII Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value - State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal. O Do not reject H,. There is not sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal. O Reject Ho. There is sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal. O Reject H. There is not sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal.

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