Question

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

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
6.8 9.1 10.7 9.6
8.1 7.8 9.9 12.7
5.5 9.6 9.3 11.9
7.7 10.5 9.9 10.6
8.7 9.4 8.9 11.2
7.6 10.0 8.9 11.2

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.)

0 0
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Answer #1

To test

H_0:mu_2=mu_4 against  H_1:mu_2 eq mu_4

Since, the sample sizes for the two populations (Machine 2 and 4 ) are small and also the population variances are unknown we use t test.

Machine 2 Machine L 2 2 -2 三53442-6(9th) 5 그58-3-6 (11.2) 5 2 = 0.852 1.132 Poold vauianca 0-902. 0.992(L z - 813024

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