Test the claim about the difference between two population means μ₁ and μ2 at the level of significance x. Assume th samples are random and independent, and the populations are normally distributed. Claim: μ₁ = μ₂; α = 0.01 Population parameters: 0₁ = 3.5, 0₂ = 1.4 Sample statistics: x₁ = 18, n₁ = 30, x₂ = 16, 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. 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. O D. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim.

MATLAB: An Introduction with Applications
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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 = 1.4
Sample statistics: x₁ = 18, n₁ =30, x₂ = 16, 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. 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.
D. 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 = 1.4 Sample statistics: x₁ = 18, n₁ =30, x₂ = 16, 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. 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. D. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim.
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