A random sample of n observations is selected from a normal population to test the null hypothesis that u= 10. Specify the rejection region for each of the following combinations of H, a, and n.a. H p#10; a= 0.05; n= 15b. Ha p> 10; a = 0.10; n= 22c. H p> 10; a = 0.01; n= 11d. Ha: p< 10; a= 0.10; n= 12e. Ha: µ# 10; a = 0.01; n=21f. Ha: µ< 10; a= 0.05; n= 4...yourchoice.a. Select the correct choice below and fill in the answer box within(Round to three decimal places as needed.)O A. t|>UО В. 1>O C. t<

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Say that we have a null hypothesis that X1,..., X16 that are Normally distributed with mean 0 and variance 1. Call the sample mean X. Consider the test where p-value = 20 (4 X) - 24 (4|X) – 1 We will reject this if p-value < a. a) Show that the type I error rate of this test is a. b) Say that X1,..., X16 that are Normally distributed with mean 1 and variance 1. What is the type II error rate of this test when a = 0.05? •..
Find the standardized test statistic, t, to test the claim that μ1<μ2. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Assume that σ21=σ22. n1=15, n2=15, x1=23.68, x2=26.23, s1=2.9, s2=2.8
The one-sample t-statistic for a test of Ho: µ = 42 versus H1: µ < 42 based on n = 15 observations has the value t = -0.867, where Họ and Hjare the null and alternative hypotheses, respectively. The sample size is denoted by n. Use this t-table to determine which two P-values bracket the P-value of the test. Report your answers in decimal form as listed in the t-table. k P-value of the test <
Assume that you have a sample of n, = 8, with the sample mean X, = 47, and a sample standard deviation of S, = 7, and you have an independent sample of n, = 7 from another population with a sample mean of X, = 37 and the sample standard deviation S, = 8. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that u, > H2? Determine the hypotheses. Choose the correct answer below. O A. Ho: H1 SH2 H1: Hy> H2 O B. Ho: H1 =H2 H: H1 # H2 O D. Ho: H1 H2 O C. Ho: H1> H2 H1: H1 SH2
Test whether mu 1 less than mu 2μ1<μ2 at the alphaα=0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Determine the null and alternative hypothesis for this test. A. H0:mu 1<mu 2μ1<μ2 H1:mu 1= mu 2μ1=μ2 B. Upper H 0 :H0:mu 1 equals mu 2μ1=μ2 Upper H 1 :H1:mu 1 not equals mu 2μ1≠μ2 C. Upper H 0 :H0:mu 1 not equals mu 2μ1≠μ2 Upper H 1 :H1:mu 1 less than mu 2μ1<μ2 D. Upper H 0 :H0:mu 1 equals mu 2μ1=μ2 Upper H 1 :H1:mu 1 less than mu 2μ1<μ2 Your answer is correct. Detemine the P-value for this hypothesis test. Pequals=nothing (Round to three decimal places as needed.)
Test the claim about the difference between two population means µ₁ and µ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ μ₂; α=0.10. Assume o² #02 Sample statistics: x₁=2404, s₁ = 177, n₁ = 15 and x₂ = 2299, s₂ = 54, n₂ = 10 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: ₁ = ₂ Hai Mi#H2 C. Ho: H₁ H₂ Hai HSM2 E. Ho: H₁ H₂ Ha: ₁ = ₂ Find the standardized test statistic t. t= (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There enough evidence at the 10% level of significance to reject the claim. B. Ho: H₁ H₂ Ha: ₁ H2
The one-sample t-statistic for a test of Ho: µ = 42 versus H: µ ●见日云) 12/9/2020 a prt sc insert 19 144 to
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According to the Official Stage Magician Handbook, magic rabbit weight (Ibs.) is normally distributed with u = 6.2 and o = 1.5. %3D Consider obtaining a random sample of 3 magic rabbits. Would it be unusual for the sample mean to be at least 6.5? Why or why not? Yes because the z-score corresponding to a sample mean of 6.5 would be z = 0.34. No because the z-score corresponding to a sample mean of 6.5 would be z = 0.34. O Yes because the z-score corresponding to a sample mean of 6.5 would be z = 0.20. O No because the z-score corresponding to a sample mean of 6.5 would be z = 0.20.
The one-sample t-statistic for a test of Ho: u = 42 versus H1:µ < 42 based on n = 15 observations has the value t = -2.138, where Ho and Hjare the null and alternative hypotheses, respectively. The sample size is denoted by n. Use this t-table to determine which two P-values bracket the P-value of the test. Report your answers in decimal form as listed in the t-table. P-value of the test <
In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 51 subjects wore magnetic insoles and 47 subjects wore nonmagnetic insoles. The results are shown at the right. At α=0.06, can you support the claim that there is a difference in the proportion of subjects who feel better between the twogroups? Assume the random samples are independent. Complete parts (a) through (e).
The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B C 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. a O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H₂: Variable P is not independent of variable Q. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We conclude that the column and row variables are independent. O Do not reject Ho. We cannot conclude that there is an…

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A random sample of n observations is selected from a normal population to test the null hypothesis that u= 10. Specify the rejection region for each of the following combinations of H. a, and n. a. H u# 10; a = 0.05; n= 15 b. H3 p> 10; a= 0.10; n= 22 c. H u> 10; a= 0.01; n= 11