K Test the claim about the difference between two population means μ₁ and H2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H1 μ2; α=0.10. Assume σ #0 Sample statistics: x₁ = 2401, S₁ = 172, n₁ = 13 and x2 = 2294, s2 = 52, n2 = 11 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H1 H2 Ha: H1 H2 O C. Ho: H1> H2 Ha: H1 H2 OE. Ho: H1 H2 Ha: H1 H2 Find the standardized test statistic t. B. Ho: H1 H2 Ha H1 H2 D. Ho: H1 H2 Ha: H1 H2 OF. Ho: H1 H2 Ha: H1 H2 t= ☐ (Round to two decimal places as needed.) Find the P-value. 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 reject the claim. enough evidence at the 10% level of significance to

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

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K
Test the claim about the difference between two population means μ₁ and H2 at the level
of significance a. Assume the samples are random and independent, and the populations
are normally distributed.
Claim: H1 μ2; α=0.10. Assume σ #0
Sample statistics: x₁ = 2401, S₁ = 172, n₁ = 13 and
x2 = 2294, s2 = 52, n2 = 11
Identify the null and alternative hypotheses. Choose the correct answer below.
OA. Ho: H1 H2
Ha: H1 H2
O C. Ho: H1> H2
Ha: H1 H2
OE. Ho: H1 H2
Ha: H1 H2
Find the standardized test statistic t.
B. Ho: H1 H2
Ha H1 H2
D. Ho: H1 H2
Ha: H1 H2
OF. Ho: H1
H2
Ha: H1 H2
t=
☐
(Round to two decimal places as needed.)
Find the P-value.
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
reject the claim.
enough evidence at the 10% level of significance to
Transcribed Image Text:K Test the claim about the difference between two population means μ₁ and H2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H1 μ2; α=0.10. Assume σ #0 Sample statistics: x₁ = 2401, S₁ = 172, n₁ = 13 and x2 = 2294, s2 = 52, n2 = 11 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H1 H2 Ha: H1 H2 O C. Ho: H1> H2 Ha: H1 H2 OE. Ho: H1 H2 Ha: H1 H2 Find the standardized test statistic t. B. Ho: H1 H2 Ha H1 H2 D. Ho: H1 H2 Ha: H1 H2 OF. Ho: H1 H2 Ha: H1 H2 t= ☐ (Round to two decimal places as needed.) Find the P-value. 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 reject the claim. enough evidence at the 10% level of significance to
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