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.

a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use alpha=0.05

Compute the values below (to 2 decimals, if necessary).

Mean Squares, Error

b. Calculate the value of the test statistic (to 2 decimals)

c. At the alpha=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):

Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment

Mean Squares, Error

b. Calculate the value of the test statistic (to 2 decimals)

c. At the alpha=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):

Manufacturer 24 30 23 28 26 17 3 1187 5487 2 5384 2 25 2222 -4086 123 -2322

Explanation / Answer

Using MS Excel

Command ==> Data analysis ==> Anova: Single Factor

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Column 1 4 108 27 6.67 Column 2 4 100 25 4.67 Column 3 4 64 16 3.33 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 274.67 2 137.33 28.09 0.000135 4.26 Within Groups 44 9 4.89 Total 318.67 11

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