In: Statistics and Probability
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material.
Manufacturer | ||
---|---|---|
1 | 2 | 3 |
19 | 27 | 21 |
27 | 26 | 19 |
24 | 30 | 22 |
26 | 33 | 26 |
Find the value of the test statistic. (Round your answer to two decimal places.)
_________.
Find the p-value. (Round your answer to three decimal places.)
p-value = ______.
At the α = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3.
Find the value of LSD. (Round your answer to two decimal places.)
LSD = _________.
Find the pairwise absolute difference between sample means for manufacturers 1 and 3.
[x1 − x3]=________.