KTest the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume thesamples are random and independent, and the populations are normally distributed.Claim: ₁ μ₂, α=0.05. Assume o #02/2Sample statistics: x₁=2418, S₁ = 177, n₁ = 15 andX₂ = 2300, S₂ = 53, n₂ = 11Identify the null and alternative hypotheses. Choose the correct answer below.Ο Α. Ηo μη = 12Ha H1 H2O C. Ho- U1 SH2На 11 м2OE. Ho H1 H2H₂H₁₂Find the standardized test statistic tt=(Round to two decimal places as needed.)Find the P-value....P=OB. Ho H1 H₂Ha 12OD. Ho H1 H₂Ha: H1 H2OF. Ho H1 H2На 11 м2Next K►Test the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume thesamples are random and independent, and the populations are normally distributed.Claim: ₁ μ₂, α=0.05. Assume o oSample statistics: x₁=2418, s₁ = 177, n₁ = 15 andX₂=2300, S₂ = 53, n₂ = 11110 P1 P2Ha: ₁2OE. Ho:12Ha 12Find the standardized test statistic tt=(Round to two decimal places as needed.)Find the P-value.PE(Round to three decimal places as needed.)CHHo ThereU10 P1 P2На 11

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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Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: µ= 50; a = 0.04; o = 3.91. Sample statistics: x= 49.2, n = 77 %3D Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. H : μ 50 В. Но: н#50 %3D Ha: H> 50 Ha: H= 50 C. H : μ 50 HaiH 50 Ha: µ= 5 Calculate the standardized test statistic. The standardized test statistic is (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=40; α=0.07; σ=3.78. Sample statistics: x=38.2, n=53 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ<40 Ha: μ=40 B. H0: μ=40 Ha: μ≠40 C. H0: μ=40 Ha: μ>40 D. H0: μ>40 Ha: μ=40 E. H0: μ≠40 Ha: μ=40 F. H0: μ=40 Ha: μ<
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?
test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=40; α=0.07; σ=3.86. Sample statistics: x=38.7, n=80 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ>40 Ha: μ=40 B. H0: μ≠40 Ha: μ=40 C. H0: μ=40 Ha: μ>40 D. H0: μ=40 Ha: μ<40 E. H0: μ=40 Ha: μ≠40 F. H0: μ<40 Ha: μ=40 Calculate the standardized test statistic. The standardized test statistic is nothing. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. The critical value is B. The critical values are ± Determine the outcome and conclusion of the test. Choose the correct answer below. A. Reject H0. At the 7% significance…
4. Test the claim about the population mean, μ,at the given level of significance using the given sample statistics. Claim: μ≠6000; α=0.08; σ=399. Sample statistics: x=6300, n=37 Determine the outcome and conclusion of the test. Choose from the following. A. Fail to reject H0. At the 8% significance level, there is not enough evidence to reject the claim. B. Reject H0. At the 8% significance level, there is enough evidence to reject the claim. C. Reject H0. At the 8% significance level, there is enough evidence to support the claim. D. Fail to reject H0. At the 8% significance level, there is not enough evidence to support the claim.
Test the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: ₁₂; a=0.01. Assume o #02 Sample statistics: x₁=2406, s₁ = 178, n₁ = 14 and X₂=2291, s₂=52, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Ha: H1 H2 OC. Ho: H₁ H₂ Ha: H1 H2 OE. Ho: H₁ H₂ Ha: H1 H2 Find the standardized test statistic t t= (Round to two decimal places as needed.). OB. Ho: H₁ H₂ Ha: H₁ 24₂ OD. Ho: ₁₂ Ha: H1 H₂ OF. Ho: H₁ H₂ H₂: H₁ H₂ Find the P-value. P=0 (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 1% level of significance to reject the claim.
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=50; α=0.09; σ=3.33. Sample statistics: x=48.2, n=67 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ=50 Ha: μ≠50 Your answer is correct. B. H0: μ=50 Ha: μ<50 C. H0: μ≠50 Ha: μ=50 D. H0: μ>50 Ha: μ=50 E. H0: μ=50 Ha: μ>50 F. H0: μ<50 Ha: μ=50 Calculate the standardized test statistic. The standardized test statistic is enter your response here. (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≠6000; α=0.08; σ=391. Sample statistics: x=5900, n=49 Determine the outcome and conclusion of the test. Choose from the following. A. Reject H0. At the 8% significance level, there is enough evidence to support the claim. B. Fail to reject H0. At the 8% significance level, there is not enough evidence to support the claim. C. Fail to reject H0. At the 8% significance level, there is not enough evidence to reject the claim. D. Reject H0. At the 8% significance level, there is enough evidence to reject the claim.
You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 . Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5 What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α 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 the claim that the first population mean is not equal to the second population mean. There is not sufficient…
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=4 vs Ha : μ≠4 using the sample results x¯=4.8, s=2.3, with n=15. Give the test statistic and the p-value. What is the conclusion?
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=50; α=0.05; σ=3.55. Sample statistics: x=49.2, n=80 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ=50 Ha: μ≠50 Your answer is correct. B. H0: μ<50 Ha: μ=50 C. H0: μ=50 Ha: μ>50 D. H0: μ=50 Ha: μ<50 E. H0: μ≠50 Ha: μ=50 F. H0: μ>50 Ha: μ=50 Calculate the standardized test statistic. The standardized test statistic is nothing. (Round to two decimal places as needed.) More
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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