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: ₁ μ₂a=0.01. Assume o #02 Sample statistics: x₁=2406, s₁ = 178, n₁ = 14 and X₂=2291, s₂=52, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Ha: H₁ H2 OC. Ho: H₁ H₂ H₂: H1> H2 OE. Ho H₁ H₂ Ha: H1 H2 Find the standardized test statistic t t = (Round to two decimal places as needed.). Find the P-value. OB. Ho: ₁ ₂ Ha: H₁ 24₂ OD. Ho: H₁ H₂ H₂: #1 = H₂ OF. Ho: ₁₂ На 11 2 P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho There 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: ₁ μ₂a=0.01. Assume o #02 Sample statistics: x₁=2406, s₁ = 178, n₁ = 14 and X₂=2291, s₂=52, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Ha: H₁ H2 OC. Ho: H₁ H₂ H₂: H1> H2 OE. Ho H₁ H₂ Ha: H1 H2 Find the standardized test statistic t t = (Round to two decimal places as needed.). Find the P-value. OB. Ho: ₁ ₂ Ha: H₁ 24₂ OD. Ho: H₁ H₂ H₂: #1 = H₂ OF. Ho: ₁₂ На 11 2 P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho There 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
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Transcribed Image Text: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: ₁₂; a=0.01. Assume o #02
Sample statistics: x₁=2406, s₁ = 178, n₁ = 14 and
X₂=2291, s₂=52, n₂ = 9
Identify the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: H₁ H₂
Ha: H1 H2
OC. Ho: H₁
H₂
Ha: H1 H2
OE. Ho: H₁ H₂
Ha: H1 H2
Find the standardized test statistic t
t=
(Round to two decimal places as needed.).
OB. Ho: H₁ H₂
Ha: H₁ 24₂
OD. Ho: ₁₂
Ha: H1 H₂
OF. Ho: H₁ H₂
H₂: H₁ H₂
Find the P-value.
P=0
(Round to three decimal places as needed.).
Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
▼ Ho There
enough evidence at the 1% level of significance to reject the claim.
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