In a trial for the university athletics competition, we aim to do inference on the chest size of all male athletes. For a random sample of 70 athletes, the average chest size is 42 inches with a standard deviation of 16 inches.What would be the degree of freedom for the test statistic needed for this inference purpose? A.  69   B. 41    C. 15   D. None of the above.   If the athletics team director claims from his previous experience that the average chest size for the male athletes is less than 45 inches. What should be the corresponding null and alternative hypotheses? A. H0 : μ > 45 vs Ha : μ ≤ 45   B. H0 : μ ≤ 45 vs Ha : μ > 45   C. H0 : μ ≥ 45 vs Ha : μ < 45   D. H0 : μ < 45 vs Ha : μ ≥ 45   What would be the computed test statistic to test the above pair of hypotheses?   A. 1.57   B. -1.57   C.  2.63   D. -2.81

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Topic Video
Question
1.In a trial for the university athletics competition, we aim to do inference on the chest size of all male athletes. For a random sample of 70 athletes, the average chest size is 42 inches with a standard deviation of 16 inches.What would be the degree of freedom for the test statistic needed for this inference purpose?
A.  69
 
B. 41 
 
C. 15
 
D. None of the above.
 
If the athletics team director claims from his previous experience that the average chest size for the male athletes is less than 45 inches. What should be the corresponding null and alternative hypotheses?
A. H0 : μ > 45 vs Ha : μ ≤ 45
 
B. H0 : μ ≤ 45 vs Ha : μ > 45
 
C. H0 : μ ≥ 45 vs Ha : μ < 45
 
D. H0 : μ < 45 vs Ha : μ ≥ 45
 
What would be the computed test statistic to test the above pair of hypotheses?
 
A. 1.57
 
B. -1.57
 
C.  2.63
 
D. -2.81
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning