the material. 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 Manufacturer 2 3 120 28 21 21 26 20 24 30 24 21 32 15 (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: M1 = M2 = M'3 Ha: H1 * M2# M3 O Ho: M 1 = 1 2 = 1 3 Ha: Not all the population means are equal. O Ho: Not all the population means are equal. Ha: M 1 = H2 = M3 O Ho: H 1 * 12 * M3 Ha: M 1 = M2 = M3 O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. 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 X 9:57 PM 2/22/2020 Type here to search e 40 $ % 6 8 9 Ohttps://www.webassign.net/web/Student/Assignment-Responses/last?dep=22954731 O Ho: M1 = H2 = 13 ... Ha: Not all the population means are equal. O Ho: Not all the population means are equal. Ha : 1 1 = 1 2 = M3 O Ho: 1 1 $ 12 * My Ha : H 1 = M2 = M3 O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. 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 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. 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. 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. O 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. (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 - X 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. There is not a significant difference between the means for manufacturer 1 and manufacturer 3. 9:57 PM Type here to search e X ? 2/22/2020