What is the value of the test statistic? A) 1.85 B) 3.704 C) 2.39 D) 4.100 E) 2.556
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Question
100%
What is the value of the test statistic?
A) 1.85
B) 3.704
C) 2.39
D) 4.100
E) 2.556
![While in college student athletes can compete for four seasons in each sport. Due to the maturing of bodies and skill set, and more experience, it is often the case that the
playing time of student athletes increases from their first year of participation until their fourth year of participation. Suppose population 1 is all female volleyball players
in their fourth year of competition, and population 2 is all female volleyball players in their first year of competition. Of interest is to estimate the difference in the mean
number of sets played by all female volleyball players in their fourth year of competition and the mean number of sets played by all female volleyball players in their first
year of competition.
A simple random sample of 8 female volleyball players in their fourth year of competition is selected, and the number of sets they played in their fourth year and the number
of sets they played in their first year were recorded. The data is as follows. It is known that the population of differences in the number of sets played in the fourth and
first years is normally distributed. If appropriate, use this information to test the hypotheses stated in question 8 at the a = .05 level of significance.
Standard Deviation
Student
Fourth year
First year
Difference
1
2
61
54
23 51
38
3
3
83
48
35
4
49
34
15
5
92
75
17
6
69
48
21
7
72
17
55
8
96
84
12
Mean
72.00
47.50
24.50
17.24
23.34
16.90](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83ec917b-3e82-4dc1-b5e7-24fa4bff0896%2Fc277f4a7-f437-4178-a6ef-f37557f62825%2F6eyxb9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:While in college student athletes can compete for four seasons in each sport. Due to the maturing of bodies and skill set, and more experience, it is often the case that the
playing time of student athletes increases from their first year of participation until their fourth year of participation. Suppose population 1 is all female volleyball players
in their fourth year of competition, and population 2 is all female volleyball players in their first year of competition. Of interest is to estimate the difference in the mean
number of sets played by all female volleyball players in their fourth year of competition and the mean number of sets played by all female volleyball players in their first
year of competition.
A simple random sample of 8 female volleyball players in their fourth year of competition is selected, and the number of sets they played in their fourth year and the number
of sets they played in their first year were recorded. The data is as follows. It is known that the population of differences in the number of sets played in the fourth and
first years is normally distributed. If appropriate, use this information to test the hypotheses stated in question 8 at the a = .05 level of significance.
Standard Deviation
Student
Fourth year
First year
Difference
1
2
61
54
23 51
38
3
3
83
48
35
4
49
34
15
5
92
75
17
6
69
48
21
7
72
17
55
8
96
84
12
Mean
72.00
47.50
24.50
17.24
23.34
16.90
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