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