To test whether the mean time needed to mix a batch of material is the same for

Question

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 16 35 17 16 20 19 20 18 38 34 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use ? = .05 Compute the values below (to 2 decimals, if necessary), Sum of Squares, Treatment728 Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 4.89 74.45 The p-value is less than 01 What is your conclusion? Conclude the mean time needed to mix a batch of material is not the same for all manufacturers b. At the ? = .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). 29.75 What is your conclusion about the mean time for manufacturer 1 and the mean time for manufacturer 3 Cannot conclude there is a difference in the mean time for these manufacturers

Explanation / Answer

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critical value of t with 0.05 level and N-k=9 degree of freedom= tN-k= 2.262 Fisher's (LSD) for group i and j =                  (tN-k)*(sp*?(1/ni+1/nj)           = 3.54

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