batch of material is the same for machines produced by three manufacturers, a chemicalTo test whether the mean time needed to mixcompany obtained the following data on the time (in minutes) needed to mix the material.Manufacturer13192820252520243023243317(a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Usea = 0.05.State the null and alternative hypotheses.Ho: H1 # H2 # H3H3: H1 = H2 = H3O Ho: Not all the population means are equal.H: H1 = H2 = H3O Ho: H1 = H2 = H3H3: H1 # H2 # H3O Ho: At least two of the population means are equal.H: At least two of the population meansdifferent.Et = ? = 'n :°H OH: Not all the population means are equal.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 time needed to mix a batch of material is not the samefor each manufacturer.O Reject Ho: There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same foreach manufacturer.O Do not reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is notthe same for each manufacturer.O Do not reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not thesame for each manufacturer.(b) At the a = 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.What conclusion can you draw after carrying out this test?O There is a significant difference between the means for manufacturer 1 and manufacturer 3.O There is not a significant difference between the means for manufacturer 1 and manufacturer 3.

For the given data using Anova single factor carry out the hypotheses at alpha =0.05 L.O.S

To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 2 3 19 28 20 25 25 20 24 30 23 24 33 17 batch of material differ for the three manufacturers, Use a) Use these data to test whether the population mean times for mixing a = 0.05. State the null and alternative hypotheses. O Ho: H1 + H2 * H3 H: H1 = H2 = H3 O Ho: Not all the population means are equal. Ha: H1 = H2 = H3 H: H1 * H2 # H3 EH = 2 = :H O O Ho: At least two of the population means are equal. H: At least two of the population means different. Ho: H1 = H2 = H3 H: Not all the population means are equal. 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 He: 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. O Reject He: There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Ha. 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. O Do not reject Ha. There is 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 a = 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. What conclusion can you draw after carrying out this test? O There is a significant difference between the means for manufacturer 1 and manufacturer 3. O There is not a significant difference between the means for manufacturer 1 and manufacturer 3.