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The owner of a health club franchise believes that the average age of the​ club's members is under 50years. To test​ this, a random sample of 30 members was selected. The accompanying sample data are the ages of the sampled individuals.   Data Table   32  48  75  27  54  33 44  65  50  64  34  23 57  54  43  37  73  75 18  32  66  42  45  51 27  57  74  23  38  43   a. State the appropriate null and alternative hypotheses. b. Use the test statistic approach to test the null hypothesis with α=0.05. ____________________________________________________________ a. State the appropriate null and alternative hypotheses. Choose the correct answer below.   A. H0​: μ≤50 HA​:μ>50   B. H0​:μ≠50 HA​ :μ=50   C. H0​: μ=50 HA​: μ≠50   D. H0​: μ≥50 HA​: μ<50   E. H0​: μ<50 HA​: μ≥50   F. H0​: μ>50 HA​: μ≤ 50   b. Determine the critical value(s) for α=0.05.   _____ = ____  (Round to two decimal places as needed. Use a comma to seperate answers as needed).

The owner of a health club franchise believes that the average age of the​ club's members is under 50years. To test​ this, a random sample of 30 members was selected. The accompanying sample data are the ages of the sampled individuals.   Data Table   32  48  75  27  54  33 44  65  50  64  34  23 57  54  43  37  73  75 18  32  66  42  45  51 27  57  74  23  38  43   a. State the appropriate null and alternative hypotheses. b. Use the test statistic approach to test the null hypothesis with α=0.05. ____________________________________________________________ a. State the appropriate null and alternative hypotheses. Choose the correct answer below.   A. H0​: μ≤50 HA​:μ>50   B. H0​:μ≠50 HA​ :μ=50   C. H0​: μ=50 HA​: μ≠50   D. H0​: μ≥50 HA​: μ<50   E. H0​: μ<50 HA​: μ≥50   F. H0​: μ>50 HA​: μ≤ 50   b. Determine the critical value(s) for α=0.05.   _____ = ____  (Round to two decimal places as needed. Use a comma to seperate answers as needed).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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The owner of a health club franchise believes that the average age of the​ club's members is under 50years. To test​ this, a random sample of 30 members was selected. The accompanying sample data are the ages of the sampled individuals.
 
Data Table
 
32  48  75  27  54  33
44  65  50  64  34  23
57  54  43  37  73  75
18  32  66  42  45  51
27  57  74  23  38  43
 
a. State the appropriate null and alternative hypotheses.
b. Use the test statistic approach to test the null hypothesis with
α=0.05.
____________________________________________________________
a. State the appropriate null and alternative hypotheses. Choose the correct answer below.
 
A. H0​: μ≤50
HA​:μ>50
 
B. H0​:μ≠50
HA​ :μ=50
 
C. H0​: μ=50
HA​: μ≠50
 
D. H0​: μ≥50
HA​: μ<50
 
E. H0​: μ<50
HA​: μ≥50
 
F. H0​: μ>50
HA​: μ≤ 50
 
b. Determine the critical value(s) for α=0.05.
 
_____ = ____  (Round to two decimal places as needed. Use a comma to seperate answers as needed).
 
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