To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. 1 2 3 20 33 17 26 31 16 24 36 20 22 32 19 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. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment 466.66 9 Sum of Squares, Error 44 9 Mean Squares, Treatment 233.33 K20 Mean Squares, Error 4.88 K10 Calculate the value of the test statistic (to 2 decimals). 47.72 to The pvalue isl less than 0.01 v| K9 What is your conclusion? ' Conclude the mean time needed to mix a batch of material is not the same for all manufacturers V i w 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. Calculate Fisher's LSD Value (to 2 decimals). 0.86 0 What conclusion can you draw after carrying out this test? ' These manufacturers have different mean times v' K10