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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: H₁ H₂; α = 0.01 Population parameters: a₁ = 3.4, 0₂1.4 Sample statistics: x₁=17, n₁ = 28, x₂ = 15, n₂ = 29 Determine the alternative hypothesis. Ha: H1 H₂ Determine the standardized test statistic. Z= (Round to two decimal places as needed.) Determine the P-value. P-value= What is the proper decision? (Round to three decimal places as needed.) O A. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. OB. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. OC. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim. O D. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject 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: H₁ H₂; α = 0.01 Population parameters: a₁ = 3.4, 0₂1.4 Sample statistics: x₁=17, n₁ = 28, x₂ = 15, n₂ = 29 Determine the alternative hypothesis. Ha: H1 H₂ Determine the standardized test statistic. Z= (Round to two decimal places as needed.) Determine the P-value. P-value= What is the proper decision? (Round to three decimal places as needed.) O A. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. OB. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. OC. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim. O D. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim.

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 14PPS
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Test the claim about the difference between two population means μ₁ and μ₂ at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ = μ₂; α = 0.01 Population parameters: σ₁ = 3.4, 0₂ = 1.4 Sample statistics: x₁ = 17, n₁ = 28, x₂ = 15, n₂ = 29 Determine the alternative hypothesis. Ha: H₁ H₂ Determine the standardized test statistic. Z= (Round to two decimal places as needed.) Determine the P-value. P-value= (Round to three decimal places as needed.) What is the proper decision? A. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. B. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. C. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim. D. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim.
Transcribed Image Text:Test the claim about the difference between two population means μ₁ and μ₂ at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ = μ₂; α = 0.01 Population parameters: σ₁ = 3.4, 0₂ = 1.4 Sample statistics: x₁ = 17, n₁ = 28, x₂ = 15, n₂ = 29 Determine the alternative hypothesis. Ha: H₁ H₂ Determine the standardized test statistic. Z= (Round to two decimal places as needed.) Determine the P-value. P-value= (Round to three decimal places as needed.) What is the proper decision? A. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. B. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. C. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim. D. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim.
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