Assume that both populations are normally distributed.(a) Test whether μ₁ #₂ at the α = 0.05 level of significance for the givensample data.(b) Construct a 95% confidence interval about μ₁ − P2.H₁₁P2OB. Ho P1P2H₁P₁ P₂C. Ho H₁xampleH2H₁ P₁ P2D. Ho H₁ H2H₁ H₁ H2Detemine the P-value for this hypothesis test.P= (Round to three decimal places as needed.)Get more help.EnXSPopulation 11210.22.6Clear allPopulation 2127.53

Given that, both the population given are normally distributed.

Answered: Assume that both populations are…

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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A sample of size n = 36 is drawn from a population whose standard deviation is σ = 15.6. The sample mean is x = 94.5. Construct a 95% confidence interval.
A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. What are the null and alternative hypotheses? OA. Ho: 002 H₁:0² = 0²/2 OC. H₂:0²=0²2 H₁:0² > 0²/2 Identify the test statistic. F = (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? C OB. H₁: 0 = 0² H₁:0² +03 OD. H₂:0²=0²2 H₁:0² <0²/ O A. Reject Ho. There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets. O B. Fail to reject…
Assume that both populations are normally distributed. a) Test whether . Population 1 Population 2 10 11.1 Pt2 at the a= 0.05 level of significance for the given sample data 10 9.8 2.3 (b) Construct a 95% confidence interval about u, - H3. 2.7 H1 H1 > H2 O C. Ho H1-H2 H1 H1> H2 D. Ho H1=H2 %3D Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.) %24
Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 В. Но На > 0 Ha: Ha s0 O C. Ho: Ha = 0 Ha: Hd #0 D. Ho: Ha <0 Ha: Hd 20 O E. Ho: Hd + 0 Ha: Hd F. Ho: Hd 20 Ha: Hd = 0 <0 The test statistic is t= (Round to two decimal places as needed.)
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=50; a=0.09; a=3.15. Sample statistics: x=48.6, n = 68 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: >50 OB. Ho: 50 H₂: H=50 = 50 OC. Ho: 50 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) example Get more help. Η: μ OD. Ho: H=50 H₂: <50 F. Ho: H=50 Ha: H50 Clear all Final check
Find the 98% confidence interval for the difference between two means based on this information about two samples. Assume independent samples from normal populations. (Use conservative degrees of freedom.) (Give your answers correct to two decimal places.) Sample Number Mean Std. Dev. 1 16 38 29 2 29 28 29 Lower Limit Upper Limit
Test whether µ, <µ, at the a = 0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. A. Ho:H1
Assume that both populations are normally distributed. (a) Test whether H1 #H2 at the a = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u, - H2. Population 1 Population 2 13 13 14.1 11.8 4.2 3.1 (a) Test whether u, # H, at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. Ho:H1 # H2 H1:H1 = H2 O B. Ho:H1 = H2 H1:41 > H2 OC. Ho:H1 H2 H1:H1> H2 D. Ho:H1 = H2 H1:41 # H2 Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.)
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u, >uz at the a = 0.05 level of significance for the given sample data. (b) Construct a 99% confidence interval about u1 -P2. Population 2 23 Population 1 22 46.4 41.8 4.3 13.1 (a) Identify the null and alternative hypotheses for this test. O A. Ho: H1 = H2 H1: H1 # H2 O B. Ho: H1 =H2 H1: H1 H2 OF. Ho: H1 > H2 H1: H1 = H2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)
Consider the following data drawn independently from normally distributed populations: x−1x−1 = −1.6 x−2x−2 = −16.3 s12 = 8.9 s22 = 7.9 n1 = 23 n2 = 15 a. Construct the 95% confidence interval for the difference between the population means. Assume the population variances are unknown but equal. (Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is __________ to ___________ b. Specify the competing hypotheses in order to determine whether or not the population means differ. multiple choice 1 H0: μ1 − μ2 = 0; HA: μ1 − μ2 ≠ 0 H0: μ1 − μ2 ≥ 0; HA: μ1 − μ2 < 0 H0: μ1 − μ2 ≤ 0; HA: μ1 − μ2 > 0 c. Using the confidence interval from part a, can you reject the null hypothesis? multiple choice 2 Yes, since the confidence interval includes the hypothesized value of 0. No, since the confidence interval includes the…
Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 Ha: Hd s0 E. Ho: Ha 0 F. Ho: Ha 20 Ha: Ha <0 The test statistic is t= 1.94 . (Round to two decimal places as needed.) The critical value(s) is(are) to (Round to two decimal places as needed. Use a comma to separate answers as needed.)
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and n. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Hg P2. a= 0.20, n, =6, n2 = 8 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Enter your answer in each of the answer boxes. DELL

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