Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: Sp = Find a 90% confidence interval for the difference ₁-2 of the means, assuming equal population variances (throughout question). Degrees of Freedom = n1 = 14, X₁ = 50, n₂ = 15, X₂ = 74.3, Confidence Interval: < μι - με < Is there enough evidence to suggest that their population means are different at the a = 0.1 level? Select the correct null and alternative hypotheses: Ο Α. Η : μι – με = 0,HA : μι – μ2 > 0 OB. H₁ μ₁ −μ2₂=0,HA μ₁ - ₂ 0 OC. Ho: M₁ M₂ = 0,HA: ₁₂ OD. None of the above The rejection region (closest) for this test is: OA. (-∞, -1.70329) OB. (-∞, -1.70329) U (1.70329, ∞) OC. (-∞, -1.31370) U (1.31370, ∞) OD. (1.31370, ∞) OE. (-∞, -1.31370) OF. (1.70329, ∞) OG. None of the above Test Statistic = The conclusion for this test is: S₁ = 5.3 S₂ = 10.8 OA. Fail to Reject HA OB. Fail to Reject Ho OC. Reject Ho OD. Reject HA E. None of the above
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: Sp = Find a 90% confidence interval for the difference ₁-2 of the means, assuming equal population variances (throughout question). Degrees of Freedom = n1 = 14, X₁ = 50, n₂ = 15, X₂ = 74.3, Confidence Interval: < μι - με < Is there enough evidence to suggest that their population means are different at the a = 0.1 level? Select the correct null and alternative hypotheses: Ο Α. Η : μι – με = 0,HA : μι – μ2 > 0 OB. H₁ μ₁ −μ2₂=0,HA μ₁ - ₂ 0 OC. Ho: M₁ M₂ = 0,HA: ₁₂ OD. None of the above The rejection region (closest) for this test is: OA. (-∞, -1.70329) OB. (-∞, -1.70329) U (1.70329, ∞) OC. (-∞, -1.31370) U (1.31370, ∞) OD. (1.31370, ∞) OE. (-∞, -1.31370) OF. (1.70329, ∞) OG. None of the above Test Statistic = The conclusion for this test is: S₁ = 5.3 S₂ = 10.8 OA. Fail to Reject HA OB. Fail to Reject Ho OC. Reject Ho OD. Reject HA E. None of the above
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Two random samples are selected from two independent populations. A summary of
the samples sizes, sample means, and sample standard deviations is given below:
Sp =
Find a 90% confidence interval for the difference μ₁ - ₂ of the means, assuming
equal population variances (throughout question).
Degrees of Freedom =
n₁ = 14, X₁ = 50,
n₂ = 15, X₂ = 74.3,
Confidence Interval:
< μη με Σ
Is there enough evidence to suggest that their population means are different at the
a = 0.1 level?
Select the correct null and alternative hypotheses:
Ο Α. Η : μι – με = 0,HA : μι – μ2 > 0
OB. Ho: M₁ M₂ = 0,HA M₁ M₂ #0
OC. Ho M₁ - ₂ = 0,HA M₁ - μ₂ < 0
OD. None of the above
The rejection region (closest) for this test is:
OA. (-∞, -1.70329)
OB. (-∞, -1.70329) U (1.70329, ∞)
OC. (-∞, -1.31370) U (1.31370, ∞)
OD. (1.31370, ∞)
OE. (-∞, -1.31370)
OF. (1.70329, ∞)
OG. None of the above
Test Statistic =
The conclusion for this test is:
S₁ = 5.3
S₂ = 10.8
OA. Fail to Reject HA
OB. Fail to Reject Ho
OC. Reject Ho
D. Reject HA
OE. None of the above
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