Find the rejection region for each test below, using the given information for each test. If...
Find the rejection region for each test below, using the given information for each test. If n is small, you may assume that the original distribution is normal. You do NOT need to carry out the full test. c) x ̄ = 10 n=8 s=4 α = 0.1 Ho :μ=12 Ha : μ≠12
please help 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...
6. Suppose we observe Y,... Yn from a normal distribution with unknown parameters such that Y 24, s2 36, and n 15. (a) Find the rejection region of a level α-0.05 test of H0 : μ-20 vs. H1 : μ * 20. Would this test reject with the given data? (b) Find the rejection region of a level α -0.05 test of Ho : μ < 20 vs. H1 : μ > 20 would this test reject with the given...
For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A city planner claims that the mean speed of westbound traffic along a road segment...
Question 4 (6 marks) Part a) Calculate the statistic, set up the rejection region, interpret the result, and draw the sampling distribution. Ho: Hi: μ 10 μ#10 Given that: σ-10, n-100, X-10, α-0.05. Part b) A statistics practitioner is in the process of testing to determine whether is enough evidence to infer that the population mean is different from 180. She calculated the mean and standard deviation of a sample of 200 observations as X -175 and s-22. Calculate the...
5. (worth 16 points) Consider a test of H : μ-65 versus Ha μ > 65. The test uses σ-10, α-01 size of n 64. and a sample a. Describe the sampling distribution of Fassuming Ho is true. Mean (t)- Standard deviation (oz)- Shape: Sketch the sampling distribution of x assuming Ho is true is used as the test stat istic. Locate the rejection region on your graph from b. Specify the rejection region when x part a. C. Describe...
Question 5(10 pts): Assume that a = 0.05. Find the rejection region for both test statistics Ho :u= 0 versus Haid > 0 with n = 35 and 0 = 10. and 7 for testing
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 =
Suppose that X ~ POI(μ), where μ > 0. You will need to use the following fact: when μ is not too close to 0, VR ape x N(VF,1/4). (a) Suppose that we wish to test Ho : μ-710 against Ha : μ μί are given and 10 < μι. m, where 140 and Using 2 (Vx-VHo) as the test statistic, find a critical region (rejection region) with level approximately a (b) Now suppose that we wish to test Ho...
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