needed to mix the material. (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 : Not all the population means are equal. Ha:1=2=3H0:1=2=3Ha:Notallthepopulationmeansareequal. Ha: Not all the population means are equal. H0:1=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:1=2=3 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. 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 forh manufacer Reject H0. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for 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 facturer Do not reject H0. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same 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=