t 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 20 30 15 26 28 14 24 33 18 22 29 17
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 | ||
| 20 | 30 | 15 | ||
| 26 | 28 | 14 | ||
| 24 | 33 | 18 | ||
| 22 | 29 | 17 |
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 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 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 decimals).
What conclusion can you draw after carrying out this test?
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