Please answer the following question and all of its parts.

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. (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. OHD:\"1=\"2=F'3 Ha: l\"1 it \"2 i \"3 OHD:M1*#2i#3 Ha: \"1 = J\"2 = #3 O HO: Not all the population means are equal. Ha: \"1 = J\"2 = J\"3 O HO: At least two of the population means are equal. Ha: At least two of the population means are different. O""01i\"1=1\"2=\"3 Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) :1 Find the p-value. (Round your answer to three decimal places.) (b) At the a = 0.05 level of signicance, 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.) so = E Find the pairwise absolute difference between sample means for manufacturers 1 and 3. lx. - x3l = :1 What conclusion can you draw after carrying out this test? 0 There is a significant difference between the means for manufacturer 1 and manufacturer 3. Q There is not a significant difference between the means for manufacturer 1 and manufacturer 3