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: μ₁₂: α=0.01. Assume o? = 0² Sample statistics: x₁ = 31.7, s₁ = 3.4, n₁ = 14 and X₂ = 34.6, S₂ = 2.2, n₂ = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Hai H2 H2 OC. Ho: H₁ H₂ Ha: H1 H₂ O E. Ho: H₁ H₂ Ha: H1 H₂ Find the standardized test statistic t. t= (Round to two decimal places as needed.). Find the P-value. P= (Round to three decimal places as needed.) OB. Ho: H₁2H₂ Ha: H₁ H2 OD. Ho: H₁ H₂ Ha: H1 H₂ OF. Ho: H₁ H₂ Hai taH2

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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: μ₁ = ₂; α=0.01. Assume o = 2
Sample statistics: x₁=31.7, s₁ = 3.4, n₁ = 14 and
x₂ = 34.6, S₂ = 2.2, n₂ = 19
Identify the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: H₁ <H₂
Ha: H₁2H₂
OC. Ho: H#H2
Hai HH2
OE. Ho: H₁ H₂
Hai HH2
Find the standardized test statistic t.
t=
(Round to two decimal places as needed.)
Find the P-value.
P=
(Round to three decimal places as needed.)
OB. Ho: H₁ H₂
Hai Hi<H2
O D. Ho: H₁
H2
Ha: H1 H₂
OF. Ho: H₁ H₂
Hai HH2
Transcribed Image Text: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: μ₁ = ₂; α=0.01. Assume o = 2 Sample statistics: x₁=31.7, s₁ = 3.4, n₁ = 14 and x₂ = 34.6, S₂ = 2.2, n₂ = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ <H₂ Ha: H₁2H₂ OC. Ho: H#H2 Hai HH2 OE. Ho: H₁ H₂ Hai HH2 Find the standardized test statistic t. t= (Round to two decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) OB. Ho: H₁ H₂ Hai Hi<H2 O D. Ho: H₁ H2 Ha: H1 H₂ OF. Ho: H₁ H₂ Hai HH2
Test the claim about the difference between two population means ₁ and ₂ at the level of significance x. Assume the samples are random and independent, and the populations are normally
distributed.
Claim: μ₁ = H₂; α=0.01. Assume o = 2
Sample statistics: x₁ = 31.7, s₁ = 3.4, n₁ = 14 and
x2 = 34.6, S₂ = 2.2, n₂ = 19
Hai H2 H2
OC. Hoi H#H2
Ha: H1 H₂
O E. Ho: H1
H₂
Ha: H1 H₂
Find the standardized test statistic t.
▼
на: 11 <H2
OD. Ho: H₁ H₂
Hai Ha SH2
(Round to two decimal places as needed.)
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.
enough evidence at the 1% level of significance to reject the claim.
Ho. There
OF. Ho: H₁ H₂
Hai t> H2
Transcribed Image Text:Test the claim about the difference between two population means ₁ and ₂ at the level of significance x. Assume the samples are random and independent, and the populations are normally distributed. Claim: μ₁ = H₂; α=0.01. Assume o = 2 Sample statistics: x₁ = 31.7, s₁ = 3.4, n₁ = 14 and x2 = 34.6, S₂ = 2.2, n₂ = 19 Hai H2 H2 OC. Hoi H#H2 Ha: H1 H₂ O E. Ho: H1 H₂ Ha: H1 H₂ Find the standardized test statistic t. ▼ на: 11 <H2 OD. Ho: H₁ H₂ Hai Ha SH2 (Round to two decimal places as needed.) 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. enough evidence at the 1% level of significance to reject the claim. Ho. There OF. Ho: H₁ H₂ Hai t> H2
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