3. A random sample of size 16 is drawn from a normal distribution with o =...
4. Take a random sample of size 16 from a normal distribution with mean 25 and unknown variance. Find the uniformly most powerful test for testing Ho: 02-16 versus Ha: 0'>16 and me 0.05 level of significance.
6. A random sample of size 16 drawn from a normal population yielded the following results: 7--0.06, S = 1.07. a. Test Hop-O vs. 8:<@ 2-0.001. b. Estimate the observed significance of the test in part (a) and state a decision based on the p-value approach to hypothesis testing.
A simple random sample of size ne 15 is drawn from a population that is normal distributed. The sample mean is found to be 32.3 and the sample standard deviation is found to be 63. Determine the population means offers from 26th 0.01 level of significance Complete parts through (d) below. (*) Determine the ruland tomative hypotheses 7 26 Ho He Cote the Pue Round to tredecimal places as needed) c) the conclusion for the test OA Reject because the...
1. Ho: μ-100 versus H1: μ # 100, a simple random sample of size n 23 To test is obtained from a population that is known to be normally distributed: (a) If = 104.8 and s = 9.2, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a 0.01 level of significance, determine the critical values. (c) Draw a r-distribution that depicts the critical region. (e) Construct a 99% confidence interval to test the...
A random sample of size 16 from a normal distribution with mu=3 produced a sample mean of 4.5. a. Is the x distrobution normal? explain b. compute the sample test statistic z under the null hypothesis Ho: mu =6.3 c. For H1: mu <6.3, estimate the P-value of the test statistic d. For a level of significance of 0.01 and the hypothesis of parts (b) and (c), do you reject or fail to reject the null hypothesis? explain.
Q6: Let X1, ..., Xn be a random sample of size n from an exponential distribution, Xi ~ EXP(1,n). A test of Ho : n = no versus Hain > no is desired, based on X1:n. (a) Find a critical region of size a of the form {X1:n > c}. (b) Derive the power function for the test of (a).
5. (10 points) Let X1,... , Xio be a random sample of size 10 from a Poisson distribution with mean θ. The rejection region for testing Ho :-0.1 vs. 1.1: θ-0.5 is given by Σ"i z > 4. Determine the significance level α and the power of the test at θ : 05.
5. (10 points) Let X1,... , Xio be a random sample of size 10 from a Poisson distribution with mean θ. The rejection region for testing Ho...
1. Ho: μ 100 versus H1: μ # 100, a simple random sample of size n 23 To test is obtained from a population that is known to be normally distributed: (a) If 104.8 and s-9.2, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a 0.01 level of significance, determine the critical values. (c) Draw ar-distribution that depicts the critical region. (d) Will the researcher reject the null hypothesis? Why? Then state the...
Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sam ple consists of 2200 people with 1570 of them having the same common attribute. Compare the results from a hypothesis test of p1 = p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1-p2 What are the null and alternative hypotheses for the hypothesis test? A. Ho : p1...
6. Let Xi 1,... ,Xn be a random sample from a normal distribution with mean u and variance ơ2 which are both unknown. (a) Given observations xi, ,Xn, one would like to obtain a (1-a) x 100% one-sided confidence interval for u as a form of L E (-00, u) the expression of u for any a and n. (b) Based on part (a), use the duality between confidence interval and hypothesis testing problem, find a critical region of size...