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. Manufacturer 2 25 26 19 31 24 18 29 29 22 27 25 21 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a m 0.05. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment 338.67 Sum of Squares, Error 44 Mean Squares, Treatment 169.33 Mean Squares, Error 4.89 O Calculate the value of the test statistic (to 2 decimals). 34.63 The p-value is less than 0.01 What is your conclusion? Conclude the mean time needed to mix a batch of material is not the same for all manufacturers o. At the a m 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. Colculate Fisher's LSD Value (to 2 decimals). 4.21 What conclusion can you draw after carrying out this test? These manufacturers have different mean times

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