To test whether themean time needed to mix a batch of material is the same formachines produced by three manufacturers, the Jacobs ChemicalCompany obtained the following data on the time (in minutes) neededto mix the material.
Manufacturer |
| 1 | 2 | 3 | |
| 21 | 27 | 24 | |
| 27 | 24 | 18 | |
| 21 | 30 | 24 | |
| 18 | 27 | 18 | |
- Use these data to test whetherthe population mean times for mixing a batch of material differ forthe three manufacturers. Use = .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 Selectless than .01between .01 and.025between .025 and .05between .05 and .10greater than .10
What is your conclusion?
SelectConclude the mean time needed to mix a batch of material isnot the same for all manufacturersDo not reject the assumption thatmean time needed to mix a batch of material is the same for allmanufacturers
- At the = .05 level ofsignificance, use Fisher's LSD procedure to test for the equalityof the means for manufacturers 1 and 3.
Calculate Fisher's LSD Value (to 2 decimals).
What is your conclusion about the mean time for manufacturer 1 andthe mean time for manufacturer 3?
SelectCannot conclude there is a difference in the mean time forthese manufacturersThese manufacturers have different meantimes
