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.Manufacturer1328| 262027183022252424(a) Use these data to test whether the population mean times for mixing a batch of material differ for the threemanufacturers. Use a = 0.05.State the null and alternative hypotheses.O Ho: Hy = Hz = Hz%3D: Not all the population means are equal.HaHoi Hy = Hz = HzO Hoi Hq # Hz # HzHo: At least two of the population means are equal.H: At least two of the population means are different.O Ho: 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-value2.2024 State your conclusion.O Reject H.. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material isnot the 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 materialis not the same for each manufacturer.O Reject H.. There is 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 H.. There is not sufficient evidence to conclude that the mean time needed to mix a batch ofmaterial 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 manufacturers1 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.

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To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturer a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 28 26 24 30 22 20 20 27 18