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

7.6 10.2 12.3 10.5

7.6 7.9 10.2 14.1

5.9 9.3 8.9 12.6

8.6 10.2 9.2 9.5

9.2 7.7 8.1 12.5

6.2 8.4 10.1 10.4

a. Compute the values identified below (to 2 decimals).

1. Sum of Squares, Treatment: _________
2. Sum of Squares, Error: _________
3. Mean Squares, Treatment: _________
4. Mean Squares, Error: _________

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

Calculate the value of the t-test statistic (to 2 decimals). _________.

The p-value is...?

a. less than .01

b. between .01 and .025

c. between .025 and .05

d. between .05 and .10

e. greater than .10

What is your conclusion?

a. Conclude

b. Cannot conclude

that the mean time between breakdowns is not the same for the four machines.

b.Calculate the value of Fisher's LSD (to 2 decimals). _________.

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

Difference Absolute Value (to 1 decimal) Conclusion

x₂ - x₄ ________ a. Significant difference

b. No significant difference