Test whether μ₁ μ₂ at the x = 0.05 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. OA. Ho:₁ = ¹₂ H₁:Hy

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 9PT
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Question
Test whether μ₁ <μ₂ at the α = 0.05 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed.
Click the icon to view the data table.
Determine the null and alternative hypothesis for this test.
A. Ho:₁ = ₂
H₁ H₁ <H₂
B. Ho:₁ ₂
H₁ H₁ H₂
P =
C. Ho:₁ <H₂
H₁:₁ = H₂
D. Ho:₁ = ₂
H₁ H₁ H₂
Detemine the P-value for this hypothesis test.
(Round to three decimal places as needed.)
State the appropriate conclusion. Choose the correct answer below.
Sample Data
n
S XIU
A. Reject Ho. There is not sufficient evidence at the α = 0.05 level of significance to conclude that H₁ <H₂.
B. Do not reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that µ₁ <µ₂.
C. Reject Ho. There is sufficient evidence at the α = 0.05 level of significance to conclude that μ₁ <μ₂.
D. Do not reject Ho. There is not sufficient evidence at the x = 0.05 level of significance to conclude that
H₁
<H2.
Population 1
31
103.4
12.3
Print
Population 2
25
114.5
13.3
Done
-
X
Transcribed Image Text:Test whether μ₁ <μ₂ at the α = 0.05 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. A. Ho:₁ = ₂ H₁ H₁ <H₂ B. Ho:₁ ₂ H₁ H₁ H₂ P = C. Ho:₁ <H₂ H₁:₁ = H₂ D. Ho:₁ = ₂ H₁ H₁ H₂ Detemine the P-value for this hypothesis test. (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. Sample Data n S XIU A. Reject Ho. There is not sufficient evidence at the α = 0.05 level of significance to conclude that H₁ <H₂. B. Do not reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that µ₁ <µ₂. C. Reject Ho. There is sufficient evidence at the α = 0.05 level of significance to conclude that μ₁ <μ₂. D. Do not reject Ho. There is not sufficient evidence at the x = 0.05 level of significance to conclude that H₁ <H2. Population 1 31 103.4 12.3 Print Population 2 25 114.5 13.3 Done - X
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