To test whether the mean time needed to mix a batch of materialis the same for machines produced by three manufacturers, theJacobs Chemical Company obtained the following data on the time (inminutes) needed to mix the material.
Manufacturer |
| 1 | 2 | 3 | |
| 25 | 33 | 20 | |
| 31 | 31 | 19 | |
| 29 | 36 | 23 | |
| 27 | 32 | 22 | |
a. Use these data to test whether thepopulation mean times for mixing a batch of material differ for thethree 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 - Select your answer
-less than .01between .01 and .025between .025 and .05between.05 and .10greater than .10Item 6
What is your conclusion?
- Select your answer
-Conclude the mean time needed to mix a batch of material is notthe same for all manufacturersDo not reject the assumption thatmean time needed to mix a batch of material is the same for allmanufacturersItem 7
b. At the  level of significance, useFisher's LSD procedure to test for the equality of the means formanufacturers  and .
Calculate Fisher's LSD Value (to 2 decimals).
What is your conclusion about the mean time formanufacturer  and the mean time for manufacturer ?
- Select your answer
-These manufacturers have different mean timesCannot concludethere is a difference in the mean time for these manufacturersItem9
