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 #02Sample statistics: x₁=2404, s₁ = 177, n₁ = 15 andx₂ = 2299, s₂ = 54, n₂ = 10Identify the null and alternative hypotheses. Choose the correct answer below.A. Ho: ₁ = ₂Hai Mi#H2C. Ho: H₁ H₂Hai HSM2E. Ho: H₁ H₂Ha: ₁ = ₂Find 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. Thereenough evidence at the 10% level of significance to reject the claim.B. Ho: H₁ H₂Ha: ₁ H2

Given: x¯1=2404x¯2=2299s1=177s2=54n1=15n2=10α=0.10 The claim is: H0 : μ1≤μ2

Answered: Test the claim about the difference…

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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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. Give the test statistic and the p-value. What is the conclusion?
You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=23 with a mean of ¯x1=74.5 and a standard deviation of SD1=20.4 from the first population. You obtain a sample of size n2=11with a mean of ¯x2=89.8and a standard deviation of SD2=7.3 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of…
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance α, and sample sizes n1 and n2. Assume that the samples are independent, normal, and random. Ha: μ1≠μ2, α=0.20, n1=6, n2=8 Find the critical value(s) assuming that the population variances are equal
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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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