Question

To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.

Machine 1	Machine 2	Machine 3	Machine 4
6.4	9.1	11.0	9.7
7.8	7.8	10.2	12.5
5.4	9.7	9.7	11.7
7.5	10.3	10.3	10.5
8.5	9.6	9.2	11.0
7.0	9.9	8.4	11.2

a) At the α = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines?

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 =

b) Use Fisher's LSD procedure to test for the equality of the means for machines 2 and 4. Use a 0.05 level of significance.

Find the value of LSD. (Round your answer to two decimal places.)

LSD =

Find the pairwise absolute difference between sample means for machines 2 and 4.

x₂ − x₄=

Answer 1