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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Question 17
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1784d6b6-d0da-4ca6-88bb-f1a2aff3fb92%2F810513be-4288-4772-9a14-056120d03108%2F33dk58b_processed.png&w=3840&q=75)
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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