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
17
31
20
23
29
19
21
34
23
19
30
22
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 - Select your answer -less than
0.01between 0.01 and 0.025between 0.025 and 0.05between 0.05 and
0.10greater than 0.10Item 6
What is your conclusion?
- Select your answer -Conclude the mean time needed to mix a batch
of material is not the same for all manufacturersDo not reject the
assumption that mean time needed to mix a batch of material is the
same for all manufacturersItem 7
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?
- Select your answer -These manufacturers have different mean
timesCannot conclude there is a difference in the mean time for
these manufacturersItem 9