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

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 14PPS
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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
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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