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.Manufacturer2 31202921262520233224193019(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.Ho: H1 = 42 = H3Ha: Not all the population means are equal.o Ho: At least two of the population means are equal.Ha: At least two of the population means are different.Ho: H1 = 42 = #3Ha: H1 * H2 + H3Ho: Not all the population means are equal.Ha: H1 = 42 = #3Ho: H1 * #2 * 43Hai H1 = #2 = H3Find 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.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 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 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.

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Accepted Answer

Given:
n=4
number of groups =3
The significance level is taken as 0.05.
a) Null and alternative…