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(a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use =0.05. State the null and alternative hypotheses. H0:1=2=3H3:1=2=3 H0: Not all the population means are equal. Ha:1=2=3H0:1=2=3Ha:1=2=3 H0: At least two of the population means are equal. Ha: At least two of the population means are different. H0:1=2=3Ha:Notallthepopulationmeansareequal. 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 H0. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. Do not reject H0. There is sufficient evidence to condude that the mean time needed to mix a batch of material is not the same for each manufacturer. Reject H0. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. Do not reject H0. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (b) At the =0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. Find the value of LSD. (Round your answer to two decimal places.) LSD= Find the pairwise absolute difference between sample means for manufacturers 1 and 3 . x1x3= What conclusion can you draw after carrying out this test? There is a significant difference between the means for manufacturer 1 and manufacturer 3 . There is not a significant difference between the means for manufacturer 1 and manufacturer 3