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- If X1 and X2 constitute a random sample of size n = 2from an exponential population, find the efficiency of 2Y1relative to X, where Y1 is the first order statistic and 2Y1and X are both unbiased estimators of the parameterLet X1, . . . , Xn, . . . ∼ iid Bern(θ). Consider the Bayes estimator under squared error loss with the Unif(0,1) prior. Show that this estimator is consistent.A test of H0H0:μ=1:μ=1 against HaHa:μ>1:μ>1 has test statistic zz = 1.74. Answer "Yes/Y" or "No/N" to the following questions. Is this test significant at the 2.5% level (αα = 0.025)? Is it significant at the 0.5% level (αα = 0.005)?
- 2.Areal estate company wants to study the relationship between Home price (in OMR 1000) and the following variables: Floor size (in 100 square feet) (X,). Type of Heating (X, 1. if electricity and X, =0, if Gas), Location of home (X= 1. if in town and X, = 0, if in village). Use this to answer the following questions: Then the critical value for testing Họ: Bo =0 against H Bo 0 at 5% level is A. +2.201 B. +1.812 C. 1.796 D. None E 12.228The test statistic of z=−2.85 is obtained when testing the claim that p=1/2. a. Using a significance level of α=0.05, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?The critical value for t for n = 10 for a one tail test at α = 5% LOS is
- Let X1, . . . , Xn ∼ iid Unif(θ1, θ2), where both θ1 and θ2 are unknown. Find the MOM estimator and compare them to the MLE.Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,Assuming all other factors are held constant ,if the df value for a two tailed t test with x=.05 were increased from df=6 to df=20,what would happen to the critical values for t? the critical values would further from t=0 the crtical values would move closer to t=0 the crtical values would not change this is impossible to determine
- To increase egg production, a farmer decided to increase the number of times the lights in his henhouse were on. Ten hens were randomly selected, and the number of eggs each produced was recorded. After one week of lengthened light time, the same hens were monitored again. The data is given here. At α = 0.05, can it be concluded that the increased light time increased egg production? Hen 1 2 3 4 5 6 7 8 9 10 Before 4 3 8 7 6 4 9 7 6 5 After 6 5 9 7 4 5 10 6 9 6For a population of highly creative individuals with a creativity score µ = 60 and σ = 10, determine the percentage(s) associated with the particular z – score(s). What percentage of highly creative individuals have a creativity score below a z – score of + 1? What percentage of highly creative individuals have a creativity score below a z – score of + 2? What percentage of highly creative individuals have a creativity score below a z – score of + 1? What percentage of highly creative individuals have a creativity score below a z- score of – 1? What percentage of highly creative individuals have a creativity score below a z – score of – 2? What percentage of highly creative individuals have a creativity score above a z – score of – 2? What percentage of highly creative individuals have a creativity score above a z – score of – 1?If the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistent