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

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 1 2 3 21 34 20 27 32 19 25 37 23 23 33 22 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use . Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). The -value is What is your conclusion? b. At the level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers and . Calculate Fisher's LSD Value (to 2 decimals). What is your conclusion about the mean time for manufacturer and the mean time for manufacturer ?

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Answer #1

Null Hypothesis,H0 :The population mean times for mixing a batch of material donot differ for the three manufacturers (ie)

Alternative Hypothesis,Ha : The population mean times for mixing a batch of material differ for the three manufacturers (ie)

Source df SS MSS F
Treatment 2 370.67 185.33 37.91
Error 9 44 4.89
Total 11 414.67

p value is 0.000 and we reject H0 and conclude that the population mean times for mixing a batch of material differ for the three manufacturers

Post Hoc test

LSD value is 2.64

The manufacturers 1 and 2 and 2 and 3 are significant

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