Test the claim about the difference between two population means μ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: ₁₂; α = 0.01 Population parameters: a₁ =3.3, 0₂ = 1.6 Sample statistics: x₁ = 14, n₁ =27, x₂=12, n₂ =28 Determine the alternative hypothesis. Ha: H1 H₂ Determine the standardized test statistic. =(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? Z= 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 not enough evidence at the 1% level of significance to reject the claim. OC. Fail to reject Ho. There is 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.

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
Question
Plz help asap 33
Test the claim about the difference between two population means μ, and μ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally
distributed.
Claim: ₁ = ₂; α = 0.01
Population parameters: o₁ = 3.3, 0₂ = 1.6
Sample statistics: x₁ = 14, n₁ =27, x₂=12, n₂ =28
Determine the alternative hypothesis.
Ha: H₁
H₂
Determine the standardized test statistic.
(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. Reject Ho. There is not 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.
OC. Fail to reject Ho. There is 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 μ, and μ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: ₁ = ₂; α = 0.01 Population parameters: o₁ = 3.3, 0₂ = 1.6 Sample statistics: x₁ = 14, n₁ =27, x₂=12, n₂ =28 Determine the alternative hypothesis. Ha: H₁ H₂ Determine the standardized test statistic. (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. Reject Ho. There is not 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. OC. Fail to reject Ho. There is 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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