Consider the following data that was extracted from a journal 10.2 0.5 5.2 6.1 3.1 6.7 8.9 7.2 8.9 5.4 3.6 9.2 6.1 7.3 2.0 1.3 6.4 8.0 4.3 4.7 12.4 8.6 13.1 3.2 9.5 7.6 4.0 5.1 8.1 1.1 11.5 3.1 6.8 7.0 8.2 2.0 3.1 6.5 11.2 12.0 5.1 10.9 11.2 8.5 2.3 3.4 5.2 10.7 4.9 6.2 11.1 1.6 4.9 6.3 9.1 6.3 5.7 7.1 Comment on the shape of the data based on moments a. A discrete random variable x has the following probability distributions 0. 1 4 7 p(x) k 2k 2k 3k k2 2k2 7k2 + k i. Find the value of k ii. Find the probability that X is at least 5?

Consider the following data that was extracted from a journal 10.2 0.5 5.2 6.1 3.1 6.7 8.9 7.2 8.9 5.4 3.6 9.2 6.1 7.3 2.0 1.3 6.4 8.0 4.3 4.7 12.4 8.6 13.1 3.2 9.5 7.6 4.0 5.1 8.1 1.1 11.5 3.1 6.8 7.0 8.2 2.0 3.1 6.5 11.2 12.0 5.1 10.9 11.2 8.5 2.3 3.4 5.2 10.7 4.9 6.2 11.1 1.6 4.9 6.3 9.1 6.3 5.7 7.1 Comment on the shape of the data based on moments a. A discrete random variable x has the following probability distributions 0. 1 4 7 p(x) k 2k 2k 3k k2 2k2 7k2 + k i. Find the value of k ii. Find the probability that X is at least 5?

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Description: NumberBox -Drop CapAdd-insMediaLinksCommentsHeader & FooterQUESTION 1TextConsider the following data that was extracted from a journal10.2 0.55.26.13.16.78.97.28.95.43.69.26.17.32.01.36.48.04.34.712.4 8.613.1 3.29.57.64.05.18.11.111.53.16.87.08.22.0

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 6.6 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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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 8.7 11.1 9.8 8.0 7.5 10.3 12.9 5.4 9.5 9.6 12.1 7.6 10.1 10.2 10.9 8.6 9.2 9.0 11.3 7.5 9.6 8.6 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 = Find the pairwise absolute difference between sample means for each pair of machines. x1 − x2= x1 − x3= x1 − x4= x2 − x3= x2 − x4= x3 − x4= Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for Machine 1 and Machine 2.There is a significant difference between the means for Machine 1 and Machine 3.There is a significant…