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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: μ₁ = μ₂; α = 0.01 Population parameters: ₁ =3.5, 0₂ = 1.6 Sample statistics: x₁=14, n₁ = 28, x₂ = 16, n₂ = 26 Determine the alternative hypothesis. Ha: H₁ 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? O A. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. O B. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. OC. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. O D. Reject Ho. There is 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: μ₁ = μ₂; α = 0.01 Population parameters: ₁ =3.5, 0₂ = 1.6 Sample statistics: x₁=14, n₁ = 28, x₂ = 16, n₂ = 26 Determine the alternative hypothesis. Ha: H₁ 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? O A. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. O B. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. OC. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. O D. Reject Ho. There is 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 a. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ = μ₂; α = 0.01 Population parameters: ₁ = 3.5, 0₂ = 1.6 Sample statistics: x₁ = 14, n₁ = 28, x₂ = 16, n₂ = 26 Determine the alternative hypothesis. Ha: H₁ Determine the standardized test statistic. H₂ 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. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. B. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. C. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. OD. Reject Ho. There is 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 a. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ = μ₂; α = 0.01 Population parameters: ₁ = 3.5, 0₂ = 1.6 Sample statistics: x₁ = 14, n₁ = 28, x₂ = 16, n₂ = 26 Determine the alternative hypothesis. Ha: H₁ Determine the standardized test statistic. H₂ 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. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. B. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. C. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. OD. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim.
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