Question 5(10 pts): Assume that a = 0.05. Find the rejection region for both test statistics...
Assume that a = 0.05. Find the rejection region for both test statistics Y- and Ý for testing oln = 0 versus Hq :> 0 with n = 35 and 0 = = 10. Ho : 1 =
The rejection region for a 5% level test of Ho: U2 10 versus H4:<10 is X <7.9. Find the rejection region for a 1% level test. The rejection region for a 1% level test is
In a Two-tailed test of variance at LoS=0.05 with sample size of 21, the rejection region(s) a. <9.591 and > 34.170 b. between (-2.086, + 2.086) c. + 1.96 and -1.96 d. between ( -9.591 and + 34.170)
Specify the rejection region associated with the test of H_0: mu = 10, H_a: mu < 10 when alpha=0.05, and n=17 and sample is drawn from normal distribution. OZ<-1.96 Ot< 2.12 ot - 1.746 O Z < -1645
In a test of hypotheses Ho: M = 456 versus H1:4< 456, the rejection region is the interval (-00, -1.796], the value of the sample mean computed from a sample of size 12 is x = 453, and the value of the test statistic is t = -2.598. The correct decision and justification are: O Reject Ho because 453 is less than 456 O Reject Ho because -2.598 lies in the rejection region O Do not reject Ho because -2.598...
Consider a hypothesis test (Ho: u = 10 vs H,:u > 10) on mean of a normal population with variance known at significance level a = 0.05. Calculate P-value for each of the following test statistics and draw conclusion on whether to reject the null hypothesis. (a) zo = 2.05 (b) zo = -1.84 = 0.4 (c) zo
1. Suppose that we are testing Hor = po versus H : > Ho with a sample size of n = 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to = 2.35 (b) to = 3.55 (c) to = 1.55
Suppose that X1, X2,..., Xn are iid from where a 1 is a known constant and θ > 0 is an unknown parameter. (a) Show that the likelihood ratio rejection region for testing Ho : θ θο versus H : θ > θο can be written in terms of X(n), the maximum order statistic. (b) Derive the power function of the test in part (a). (c) Derive the most powerful (MP) level α test of Ho : θ-5 versus H1...
Question 42 2 pts 42. To test the claim that o > 3.1, a random sample of size n=15 is obtained from a population that is known to be normally distributed. Use s2 = 1.52 and a = 0.05 level of significance. Answer questions 42 through 43. State the null and alternate hypotheses. HO: 0 < 3.1; H1: 0 = 3.1 Left Tailed Test HO: 0 = 3.1; H1: 0 < 3.1 Left Tailed Test HO:0 > 3.1; H1: 0...
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Find the critical value and rejection region for the type of chi are test with sample size n and level of significance a. Two-tailed test n 12, a- 0.05 x2L = 4.575-X2R = 1 9.675; x2 < 4.575, x2 > 19.6 OX2L=3.816.x2R= 21.920-X2< 3.81 6.x2-1.920 。X2L = 2.603, X2R = 26.757: Χ2 < 2.6c x2 > 26.757 X2L = 3.053, X2R = 24.725; X2 ,053-X2 > 24.725 .5 QUESTION 22 Find the rejection region for the specified hypothesis...