(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. 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 ofautomobile is tested with each type of gasoline. The results of the experiment (in miles per gallon) follow.Gasoline BrandsIIIIIA182020B242627Automobiles302934D222524202324(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 OH: Not all the population means are equal.O Ho: HI = HII HIIO Ho: H1 + H1 * HIIO 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 - HIIFind 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.

Name: (b) Analyze the experimental data using the ANOVA procedure for compl
Uploaded: 2024-03-20T07:06:27.000Z
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Description: (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 place

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ANOVA: This is a statistical technique to observe the variation in the data. 
here three brands of…