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: a=0.01. Assume o² #0² Sample statistics: x₁ =2411, s₁ = 172, n₁ = 14 and x2=2306, $2=55, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. ○ A. Ho: 14542 Ha: 12 B. Ho: <2 Ha₁₂ OD. Ho: H1 H2 Ha: P1 P2 ○ F. Ho: H1>H₂ H₂: 152 Ha: 12 ○ E. Ho: 141 242 Ha: 12 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. enough evidence at the 1% level of significance to reject the claim. Ho. There Fail to reject Reject

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: a=0.01. Assume o² #0² Sample statistics: x₁ =2411, s₁ = 172, n₁ = 14 and x2=2306, $2=55, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. ○ A. Ho: 14542 Ha: 12 B. Ho: <2 Ha₁₂ OD. Ho: H1 H2 Ha: P1 P2 ○ F. Ho: H1>H₂ H₂: 152 Ha: 12 ○ E. Ho: 141 242 Ha: 12 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. enough evidence at the 1% level of significance to reject the claim. Ho. There Fail to reject Reject

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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