You may need to use the appropriate technology to answer this question. 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 20 28 19 25 25 20 25 30 24 22 33 17 (a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. OHo: H1 = H2 = H3 Ha: Not all the population means are equal. . OHO: H1 = H2 = H3 Ha: H 1 # H2 # H3 O Ho: Not all the population means are equal. Ha: H1 = H2 = M3 OHo: H 1 # 12 * H3 Ha: H 1 = M2 = M3 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 Ho. 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 Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. Reject Ho. 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 Ho. 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. * 1 - X3 = What conclusion can you draw after carrying out this test? There is a significant difference between the means for manufacturer 1 and manufacturer 3