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. 5 Standard Deviation 92 75 17 Student Fourth year First year Difference 20 a. 1 2 61 54 23 51 38 3 - 3 83 48 35 4 49 34 15 6 69 48 21 7 8 72 96 17 84 55 12 Mean 72.00 47.50 24.50 17.24 23.34 16.90 Based on the information above-using both the appropriate symbol and in words, state the one parameter of interest. 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. -000 a. H₁ H2 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. H₂H₂ 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.
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. 5 Standard Deviation 92 75 17 Student Fourth year First year Difference 20 a. 1 2 61 54 23 51 38 3 - 3 83 48 35 4 49 34 15 6 69 48 21 7 8 72 96 17 84 55 12 Mean 72.00 47.50 24.50 17.24 23.34 16.90 Based on the information above-using both the appropriate symbol and in words, state the one parameter of interest. 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. -000 a. H₁ H2 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. H₂H₂ 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.
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
Related questions
Question
![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
20
O
a.
1
2
61
54
23
51
38 3
Oa.
3
83
48
35
4
49
34
15
5
92
6
69
75
48
17 21
7
72
17
55
8
96
84
12
Based on the information above-using both the appropriate symbol and in words, state the one parameter of interest.
Ca.
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.
Mean
72.00
47.50
24.50
17.24
23.34
16.90
H₁ - H₂ 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.
H₁ - H₂
X₂
X₁
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83ec917b-3e82-4dc1-b5e7-24fa4bff0896%2Ff9edb292-433e-4668-89aa-b1e31c2b9b8b%2Fmjji4ye_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
20
O
a.
1
2
61
54
23
51
38 3
Oa.
3
83
48
35
4
49
34
15
5
92
6
69
75
48
17 21
7
72
17
55
8
96
84
12
Based on the information above-using both the appropriate symbol and in words, state the one parameter of interest.
Ca.
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.
Mean
72.00
47.50
24.50
17.24
23.34
16.90
H₁ - H₂ 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.
H₁ - H₂
X₂
X₁
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.
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