A research firm tests the miles-per Gasoline Brands II III A 17 21 20 B 24 26 27 Automobiles C 30 29 34 D 22 25 24 E 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. O HO: HI = HII = HIn O Ho: Not all the population means are equal. Ha: HI - F1 = HIIt O Ho: HI = HII = HILL H : Not all the population means are equal. O Ho: At least two of the population means are equal. H : At least two of the population means are different. O Ho: HI * HI * Hill 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 sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal. 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. 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. 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. (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. 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. Do not reject Ho. There is sufficient evidence to conclude that the ean miles-per-gallon ratings for the three brands of gasoline are not all equal. 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. 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. Compare your findings with those obtained in part (a). The conclusion is the same as t conclusion in part (a) The conclusion is different from the conclusion in part (a). What is the advantage of attempting to remove the block effect? We must remove the block effect in order to detect that there is no significant difference due to the brand of gasoline. O There is no advantage to removing the block effect b ecause the conclusion Is the same in either case. We must remove the block effect in order to detect that there is a significant difference due to the brand of gasoline
