7..Use the Jonckheere-Terpstra test to test Ho: M₁-M₂-M3 versus H₂: M₁
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- Supply the details for the proof of the Weierstrass M-TestThe average jump height of a normal man is said to be 18 inches. 15 normal males are selected and their jump height is measured.15.8 16.7 18.8 19.1 17.718.8 18.9 17.6 16.9 15.518.6 19.3 20.5 18.6 18.4In inches.With a 0.05 level of significance, what conclusion can you derive?A sample, with M=42 and n=64, is selected from a population with a μ=48 and σ=16. Would this sample be considered extreme and unrepresentative for this population?
- The following are the number of defective bolts produced by two machines. Machine A Machine B 2 3 4 7 6 0 5 2 8 11 10 9 1 7 3 1 6 8 Which machine is showing the more consistent performance?If Ho: µ = 50 and the computed value of the test statistic Z = (x - μ0)/(σ/√n) is 1.75, compute for the p-value when: Ha: µ > 50. Should Ho be rejected at 0.05 level of significance? Ha: µ < 50. Should Ho be rejected at 0.05 level of significance? Ha: µ ≠ 50. Should Ho be rejected at 0.05 level of significance?suppose that the proportions of blood phenotypes in a particular population are as follows a=0.40 b=0.12 ab=0.04 o=0.44 assume the phenotype of three randomly selected individuals are independent of one another. what is the probabililty that the phenotypes of three randomly selected individuals match?
- Consider Ho: µ1 = µ2 = µ3 = µ4 = µ5 Using 1% level of significance, would you reject Ho? please also provide N1 and N2Ann and Sam are both testing the hypothesis that 40% of plain M&M are orange. Ann draws a sample of 150 plain M&M and finds that 45% of her sample is orange. Ann's test statistic is?The manufacturer of Lakas Papaya cleansing soap claimed that their product was effective in making the facial skin blemish-free of at least 93% of users who tested it for a period of 1 week. In a sample of 350 people who had problems with their facial skin, the soap provided blemish-free skin for 295 people. Which of the following represents the alternative hypothesis for this problem? A. Ha: p = 0.93B. Ha: p < 0.93C. Ha: p > 0.93D. H_a: p ≠ 0.93
- If the critical t is ±1.796 and the obtained t is -2.09, what decision would you make regarding the null hypothesis?The test statistic of z=2.55 is obtained when testing the claim that p≠0.753. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.05, should we reject H0 or should we fail to reject H0?