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 61 2 54 3 83 23 51 48 38 3 35 4 49 34 15 5 92 75 17 6 69 48 21 7 1225 72 8 96 17 84 12 55 Mean 72.00 47.50 24.50 17.24 23.34 16.90
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 61 2 54 3 83 23 51 48 38 3 35 4 49 34 15 5 92 75 17 6 69 48 21 7 1225 72 8 96 17 84 12 55 Mean 72.00 47.50 24.50 17.24 23.34 16.90
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Using a = .05, which of the following is the correct decision?
A) Reject the null hypothesis
B) Fail to reject the null hypothesis
C) Accept the null hypothesis
D) Accept the alternate hypothesis
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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