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Test the claim about the difference between two population means μ₁ and ₂ at the level of significance x. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ μ₂; α=0.01. Assume o² #02 Sample statistics: x₁=2413, S₁ = 176, n₁ = 12 and x2 =2294, s₂ = 54, n₂ = 11 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Hai HSH2 OC. Ho: H₁ H₂ Ha: H1 H₂ OE. Ho: H₁ H₂ Hai HH2 Find the standardized test statistic t. t= (Round to two decimal places as needed.) Find the P-value. Fail to reject OB. Ho: H₁ H₂ Hai H2H2 Reject OD. Hoi Hy #U2 Ha: H1 H₂ 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. There enough evidence at the 1% level of significance to reject the claim. OF. Ho: H₁ H2 Hai Hy H2

Test the claim about the difference between two population means μ₁ and ₂ at the level of significance x. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ μ₂; α=0.01. Assume o² #02 Sample statistics: x₁=2413, S₁ = 176, n₁ = 12 and x2 =2294, s₂ = 54, n₂ = 11 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Hai HSH2 OC. Ho: H₁ H₂ Ha: H1 H₂ OE. Ho: H₁ H₂ Hai HH2 Find the standardized test statistic t. t= (Round to two decimal places as needed.) Find the P-value. Fail to reject OB. Ho: H₁ H₂ Hai H2H2 Reject OD. Hoi Hy #U2 Ha: H1 H₂ 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. There enough evidence at the 1% level of significance to reject the claim. OF. Ho: H₁ H2 Hai Hy H2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Test the claim about the difference between two population means µ₁ and µ2 at the level of significance x. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ₁ ≤ μµ₂; α=0.01. Assume o² #0² Sample statistics: x₁=2413, s₁ = 176, n₁ = 12 and x₂ = 2294, s₂ = 54, n₂ = 11 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Hai HSM2 OC. Ho: H₁ H₂ Hai H1#H2 O E. Ho: H₁ H₂ Hai Hy<H2 Find the standardized test statistic t. t= (Round to two decimal places as needed.) Find the P-value. Fail to reject B. Ho: H₁ H₂ Ha: μ₁²μ₂ Reject D. Ho: H₁ H₂ Ha: H₁ = μ₂ 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. There enough evidence at the 1% level of significance to reject the claim. OF. Ho: M₁ ≤H₂ Hai H1> H2
Transcribed Image Text:Test the claim about the difference between two population means µ₁ and µ2 at the level of significance x. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ₁ ≤ μµ₂; α=0.01. Assume o² #0² Sample statistics: x₁=2413, s₁ = 176, n₁ = 12 and x₂ = 2294, s₂ = 54, n₂ = 11 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Hai HSM2 OC. Ho: H₁ H₂ Hai H1#H2 O E. Ho: H₁ H₂ Hai Hy<H2 Find the standardized test statistic t. t= (Round to two decimal places as needed.) Find the P-value. Fail to reject B. Ho: H₁ H₂ Ha: μ₁²μ₂ Reject D. Ho: H₁ H₂ Ha: H₁ = μ₂ 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. There enough evidence at the 1% level of significance to reject the claim. OF. Ho: M₁ ≤H₂ Hai H1> H2
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