Assume that both populations are normally distributed.(a) Test whether μ₁ μ₂ at the α = 0.01 level of significance for the given sample data.(b) Construct a 99% confidence interval about H₁ - H₂.(a) Test whether μ₁ μ₂ at the α = 0.01 level of significance for the given sample data.#Determine the null and alternative hypothesis for this test.O A. Hotlq #U2H₁:1 = H2OB. Ho H₁ H₂H₁ H₁ H₂OC. Ho:₁ = H₂H₁ H₁ H₂O D. Ho:₁ = H₂H₁ H1 H₂nXSPopulation 1 Population 2181819.223.45.34.3

Given that, is a random variable for population 1 and is a random variable for population 2.For…

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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Population 2 Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u, >H2 at the a = 0.01 level of significance for the given sample data. Population 1 28 20 (b) Construct a 99% confidence interval about µ - H2. 51.8 48.5 5.1 14.9 (a) Identify the null and alternative hypotheses for this test. VB. Ho: H1 =#2 O A. Ho: H1 H2 O D. Ho: H1 = H2 H1: H1 # H2 O E. Ho: H1* H2 O F. Ho: H1> H2 H7: H1=H2 H1: H1 = H2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)
A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 7.1 s = 2.3 n = 18 α = 0.01 H0: µ = 10 H1: µ < 10 The critical value(s) is/are (If there are two critical values separate each with a comma and list from smallest to largest)
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Test the claim about the differences between two population variances at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected and each population has a normal distribution. 1. Find the critical value. 2. Find the test statistic.
Assume that both populations are normally distributed. (a) Test whether µ, + µ, at the a = 0.01 level of significance for the given sample data. Population 1 Population 2 n 11 11 (b) Construct a 99% confidence interval about µ, - H2. 18.8 26.7 S 3.8 5.3 (a) Test whether µ, # µ2 at the a = 0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. A. Ho:H1 = H2 B. Ho:H1 = H2 H1:H1> H2 Ho:H1 # H2 H1:H1 = H2 D. Ho:H1 # H2 Detemine the P-value for this hypothesis test. P= (Round to three decimal places as needed.)
Assume that both populations are normally distributed. (a) Test whether u, # µ, at the a = 0.05 level of significance for the given sample data. Population 1 Population 2 16 16 (b) Construct a 95% confidence interval about u, - H2. 12.9 11.2 2.9 2.8 (a) Test whether u, # µ, 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 VB. Ho:H1 =H2 H1:H1 # H2 O C. Ho:H1 # H2 H1:H1> H2 O D. Ho:H1 = H2 H1:H1 > H2 Detemine the P-value for this hypothesis test. P= 0.102 (Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Do not reject Ho, there is not sufficient evidence to conclude that the two populations have different means. O B. Do not reject Ho, there is sufficient evidence to conclude that the two populations have different means. O C. Reject Ho, there is sufficient evidence to conclude that the two populations have different means. O D. Reject Ho, there is…
Test the claim about the population mean μ at the level of significance a. Assume the population is normally distributed. Claim: μ> 16; α = 0.05; G = 1.2 Sample statistics: x = 16.3, n=50 O A. Fail to reject Ho. There is not enough evidence at the 5% level of significance to support the claim. OB. Reject Ho. There is enough evidence at the 5% level of significance to support the claim. O C. There is not enough information to decide.
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Treatment Sham μ μ1 μ2 n 13 13 x 0.48 0.41 s 0.76 1.42 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1>μ2 B. H0: μ1<μ2 H1: μ1≥μ2 C. H0: μ1=μ2 H1: μ1≠μ2 D. H0: μ1≠μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round…
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 t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test Ho: M₁ = μ₂ vs Ha: ₁ ₂ using the sample results n₂ = = 80. Part 1 test statistic = i = (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. p-value = i 15.3, s₁ = 11.6 with n₁ = 100 and ₂ = 18.4, 82 = 14.3 with
Assume that both populations are normally distributed. (a) Test whether μ₁ #₂ at the α = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about μ₁ − P2. H₁₁P2 OB. Ho P1 P2 H₁P₁ P₂ C. Ho H₁ xample H2 H₁ P₁ P2 D. Ho H₁ H2 H₁ H₁ H2 Detemine the P-value for this hypothesis test. P= (Round to three decimal places as needed.) Get more help. E n X S Population 1 12 10.2 2.6 Clear all Population 2 12 7.5 3
Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=15 vs Ha : μ>15 using the sample results x¯=17.2, s=6.4, with n=40. (a) Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = p-value =

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