To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained Machine Machine Machine Machine 1 2 3 4 6.6 8.9 10.9 9.5 7.8 7.5 10.1 12.4 5.5 9.5 9.5 11.8 7.5 10.2 10.3 10.6 8.4 9.2 9.0 10.9 7.4 9.9 9.0 11.4- (aj At the a = 0.05 level of significance. what is the differencer if any, in the population mean times among the four machines? State the null and alternative hypotheses. Ho: \"1 : \"2 : F's : \"4 Ha:|\"1'i\"2 #143 1|:r4 '3:i' Ho: At least two of the population means are equal. Ha: At least two of the population means are different. [1' Ho: Not all the population means are equal. Ha:'"1= P2 = \"a = \"4 (9) H0: p1 = .112 = #3 = #4 Ha: Not all the population means are equal. i_1' Ho: p1 : [:12 .113 =p4 Ha: "1 = \"2 = \"a = \"4 y 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.) (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 = E Find the pairwise absolute difference between sample means for machines 2 and 4. ix2_X4i=i:i