To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.MachineMachineMachineMachine12346.49.010.89.87.77.610.112.75.49.59.411.97.310.410.110.68.59.38.911.37.310.08.311.5(a) At the a = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines?State the null and alternative hypotheses.O Ho: H1 = H2 = H3 = H4H: Not all the population means are equal.Ho: H1 = H2 = Hlz = H4H: H, + H2 # HHz# H4O Ho: At least two of the population means are equal.H: At least two of the population means are different.O Ho: Not all the population means are equal.Ha: H1 = H2 = Hz = H4O Ho: H1 # Hz # fHz # H4Ha: H1 = H2 = Hz = H4Find 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 = 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 =State your conclusion.O Do not reject H.. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.O Do not reject H.. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.O Reject H. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.O Reject H,. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.(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.- XWhat conclusion can you draw after carrying out this test?O There is a significant difference between the means for machines 2 and 4.O There is not a significant difference between the means for machines 2 and 4.

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Description: To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.MachineMachineMachineMachine12346.49.010.89.87.77.610.112.75.49.59.411.97.310.410.110.68.59.38.911.37.310.08.311.5(a

a. The data represent the results of a test for any significance difference in the number of hours…

Math

Statistics

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 3 1 6.4 9.0 10.8 9.8 7.7 7.6 10.1 12.7 5.4 9.5 9.4 11.9 7.3 10.4 10.1 10.6 8.5 9.3 8.9 11.3 7.3 10.0 8.3 11.5

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 3 1 6.4 9.0 10.8 9.8 7.7 7.6 10.1 12.7 5.4 9.5 9.4 11.9 7.3 10.4 10.1 10.6 8.5 9.3 8.9 11.3 7.3 10.0 8.3 11.5

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine1 Machine2 Machine3 Machine4 6.7 8.9 11.1 9.9 8.1 7.7 10.3 12.6 5.6 9.6 9.7 11.9 7.6 10.3 10.4 10.8 8.6 9.3 9.1 11.2 7.8 10.0 8.8 11.4 Use the Bonferroni adjustment to test for a significant difference between all pairs of means. Assume that a maximum overall experimentwise error rate of 0.05 is desired. Find the value of LSD. (Round your comparisonwise error rate to three decimal places. Round your answer to two decimal places.) LSD = ??
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To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine1 Machine2 Machine3 Machine4 6.6 9.1 10.9 9.6 8.1 7.8 9.9 12.4 5.6 9.7 9.4 11.7 7.8 10.3 10.1 10.6 8.8 9.5 8.8 10.9 7.5 10.0 8.5 11.4 (a) At the ? = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines? State the null and alternative hypotheses. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: ?1 = ?2 = ?3 = ?4 H0: ?1 = ?2 = ?3 = ?4Ha: ?1 ≠ ?2 ≠ ?3 ≠ ?4 H0: At least two of the population means are equal.Ha: At least two of the population means are different. H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 = ?4 H0: ?1 = ?2 = ?3 = ?4Ha: Not all the population means are equal. 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 = State your conclusion. Reject…
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Hours Spent in Child Care 5.5 11.4 2.1 11.0 7.2 5.1 9.1 10.2 2.9 8.7 10.0 9.0 9.8 9.4 3.1 8.5 9.6 10.6 7.6 8.9 10.7 6.0 0.6 3.7 9.8 3.3 3.5 5.0 3.3 10.3 7.3 6.9 6.1 4.3 0.8 6.9 8.1 1.3 1.6 9.8 Sample Size 40 Hypothesized Mean 6