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 Compant obtained the following data on the time (in minutes) needed to mix the material. 1 17 23 21 19 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use α = 0.05. Compute the values below (to 2 decimals, if necessary). * X X × Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Manufacturer The p-value is less than 0.01 What is your conclusion? 2 33 31 36 32 3 22 21 25 24 Conclude the mean time needed to mix a batch of material is not the same for all manufacturers 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).

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