Determine β for the following test of hypothesis, given that μ=52. H0:μ=56H1:μ<56 For this test, take σ=5, n=38, and α=0.04. P(Type II Error) =
Test a hypothesis H0: μ=50; H1: m≠50 at α=0.10. Given σ=2.5 and a sample of size 30 was taken and the sample means X-bar=47.5. You can use P-value to test or find zα/2 to do the test.
For each of the following, use an appropriate comparison
test to determine the convergence or divergence of the
series.
α) Σ 2n +17 22 In n +5
α) Σ 2n +17 22 In n +5
Consider the following hypotheses. Upper H0 : μ≤500 Upper H1 : μ>500 Given that σ=27, n=64, μ=505, and α= .02 , calculate β. The probability of committing a Type II error is ___
Consider the following hypothesis test with n 19, s 7.8, and x 64.9. HA: μ#63 α 0.10 a. State the decision rule in terms of the critical value of the test statistic b. State the calculated value of the test statistic. c. State the conclusion.
Determine the p-value given the stated hypothesis and test statistic value (Z) Ho: μ = 120 H1: μ ≠ 120; z = 1.92
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...
Determine the upper-tail critical value tα/2 in each of the following circumstances.a.1−α=0.95, n=56d.1−α=0.95, n=64b.1−α=0.90, n=56e.1−α=0.99, n=22c.1−α=0.95, n=38
10-13.. Consider the hypothesis test H0 : μι Ma against , : μ.< μ2. Suppose that sample sizes n-15 and n-15, that 7.2 and x2-7.9, and that si 4 and s 6.25. Assume that σ-σ and that the data are drawn from normal distribu- tions. Use α 0.05 (a) Test the hypothesis and find the P-value (b) Explain how the test could be conducted with a confidence interval. than μ2? be used to obtain B 0.05 if u, is 2.5...
5/quizzes/208414/take Maps The P-value picture for a One-Sample Hypothesis Test is given below, use it to answer the following question: Which alternative hypothesis does the picture correspond to? P-value Picture XP-value area 2000 3000 The center of the curve is at 3000. 2020 Radna Bos, Florida State University Department of Statistics Ha: The population mean is greater than 2000. Ha: The population mean is not equal to 2000. Ha: The population mean is not less than 2000, Ha: The population...
03)-3+3 1 A3-sigma control chart is to be developed for P 0.40 and n 80. (a)- What are the control limits? (b) Determine the probability of a type I error. Determine the probability of a type II error if p shifts to 0.50 d) I0.25 and P, 0.57 on any periods of inspection, do they correspond to an out of control point? Explain.
03)-3+3 1 A3-sigma control chart is to be developed for P 0.40 and n 80. (a)- What...