Two countries have a high number of 10 year old soccer players. A Mathematician is curious to see if country 1 soccer players has a mass less than country 2 soccer players. He recorded the following samples (in pounds): Country 2 69.6, 70.3, 70, 70.5, 71.5, 72.8, 71.1, 69, 70.6, 70.6, 71.1, 71.5 X₁ = Country 1 64, 62.7, 65.8, 61.8, 64.8, 66.8, 63.3, 61.8, 66.6, 67.2 S₁ = , X₂ = , S₂ = Assuming that the population variances are not equal, construct a 90 percent confidence interval: Degrees of Freedom = Σμη - με Use the a=0.1 significance level to test the claim that the mean weight in Country 1 is less than in Country 2 (again, assume the variances are not equal). Select the correct null and alternative hypotheses: OA.Ho:-1-|2=0,HA:-1 - M270 OB. Ho 1₂ = 0,HA 1-₂ > 0 OC. Ho M1 M2=0,HA M₁ M₂ <0 OD. None of the above The rejection region for this test is: OA. (1.35622, ∞) OB. (-∞, -1.35622) U (1.35622,00) OC. (-∞, -1.35622) OD. (1.78229, ∞) OE. (-∞, -1.78229) OF. (-∞, -1.78229) U (1.78229, ∞0) OG. None of the above The conclusion is: The test statistic is t = OA. There is sufficient evidence to support the claim that weights of the soccer
Two countries have a high number of 10 year old soccer players. A Mathematician is curious to see if country 1 soccer players has a mass less than country 2 soccer players. He recorded the following samples (in pounds): Country 2 69.6, 70.3, 70, 70.5, 71.5, 72.8, 71.1, 69, 70.6, 70.6, 71.1, 71.5 X₁ = Country 1 64, 62.7, 65.8, 61.8, 64.8, 66.8, 63.3, 61.8, 66.6, 67.2 S₁ = , X₂ = , S₂ = Assuming that the population variances are not equal, construct a 90 percent confidence interval: Degrees of Freedom = Σμη - με Use the a=0.1 significance level to test the claim that the mean weight in Country 1 is less than in Country 2 (again, assume the variances are not equal). Select the correct null and alternative hypotheses: OA.Ho:-1-|2=0,HA:-1 - M270 OB. Ho 1₂ = 0,HA 1-₂ > 0 OC. Ho M1 M2=0,HA M₁ M₂ <0 OD. None of the above The rejection region for this test is: OA. (1.35622, ∞) OB. (-∞, -1.35622) U (1.35622,00) OC. (-∞, -1.35622) OD. (1.78229, ∞) OE. (-∞, -1.78229) OF. (-∞, -1.78229) U (1.78229, ∞0) OG. None of the above The conclusion is: The test statistic is t = OA. There is sufficient evidence to support the claim that weights of the soccer
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...
Related questions
Question

Transcribed Image Text:Use the a = 0.1 significance level to test the claim that the mean weight in Country
1 is less than in Country 2 (again, assume the variances are not equal).
Select the correct null and alternative hypotheses:
Α. Η : μι – μ2 = 0,HA : μι – με 7 0
) Β. Η : μι – μ2 = 0,HA : μι – μ2 > 0
C. Ho :/1
μ₂ = 0,HA: M₁ - μ₂ < 0
D. None of the above
-
The rejection region for this test is:
A. (1.35622, ∞)
B. (-∞, -1.35622) U (1.35622, ∞)
C. (-∞, -1.35622)
D. (1.78229, ∞)
E. (-∞, -1.78229)
F. (-∞, -1.78229) U (1.78229, ∞)
G. None of the above
The test statistic is t
The conclusion is:
OA. There is sufficient evidence to support the claim that weights of the soccer
players from country 1 is less than country 2
B. There is not sufficient evidence to support the claim that weights of the soccer
players from country 1 is less than country 2

Transcribed Image Text:Two countries have a high number of 10 year old soccer players. A
Mathematician is curious to see if country 1 soccer players has a mass less than
country 2 soccer players. He recorded the following samples (in pounds):
X₁ =
S₁ =
Country 1
64, 62.7, 65.8, 61.8, 64.8, 66.8, 63.3, 61.8, 66.6, 67.2
Country 2
69.6, 70.3, 70, 70.5, 71.5, 72.8, 71.1, 69, 70.6, 70.6, 71.1, 71.5
, X₂ =
, S₂ =
Assuming that the population variances are not equal, construct a 90 percent
confidence interval:
Degrees of Freedom =
Σμι - με Σ
Use the a = 0.1 significance level to test the claim that the mean weight in Country
1 is less than in Country 2 (again, assume the variances are not equal).
Select the correct null and alternative hypotheses:
Ο Α. Η : μη – με = 0,HA : μι - με 7 0
OB. Ho: ₁ - ₂ = 0,HA M₁ M₂ > 0
Ο c. H : μι – με = 0,HA : μι – με < 0
OD. None of the above
The rejection region for this test is:
OA. (1.35622, ∞)
OB. (-∞, -1.35622) U (1.35622, ∞0)
OC. (-∞, -1.35622)
D. (1.78229, ∞)
E. (-∞, -1.78229)
OF. (-∞, -1.78229) U (1.78229, ∞)
OG. None of the above
The conclusion is:
The test statistic is t =
A. There is sufficient evidence to a
aim that weights of the soccer
Expert Solution
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Step 1: Given information
VIEWStep 2: Calculate mean
VIEWStep 3: Calculate level of significance , degrees of freedom and critical value
VIEWStep 4: Calculate standard error and confidence interval
VIEWStep 5: Determine the hypotheses
VIEWStep 6: Calculate rejection region
VIEWStep 7: Calculate test statistics
VIEWStep 8: Determine conclusion
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