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
5 2 3
19 26 17
25 24 16
23 29 20
21 23 19
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).
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 p-value is:
What is your conclusion?
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)
What conclusion can you draw after carrying out the test?