Are there 2 independent simple random samples?a) Yesb) No Are the sample sizes large enough for the central limit theorem?a) Yes because on sample sizes of 40 are neededb) No because the sample is small for the central limit theorem to applyc) Yes because on sample sizes of 15 are needed d) Yes since it is normally distributed any sample size will work 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 theplaying time of student athletes increases from their first year of participation until their fourth year of participation. Suppose population 1 is all female volleyball playersin 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 meannumber 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 firstyear 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 numberof 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 andfirst years is normally distributed. If appropriate, use this information to test the hypotheses stated in question 8 at the a- .05 level of significanceS6Standard Deviation92 69StudentFourth yearFirst yearDifference361 54 83483523382443494549341575 48172177217.558968412Mean72.0047.5024.5017.2423.3416.90

Solution: A simple random sample of 8 females volleyball players in their fourth year of competition…

Answered: compete for four seasons in each sport.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Are there 2 independent simple random samples?

a) Yes

b) No

Are the sample sizes large enough for the central limit theorem?

a) Yes because on sample sizes of 40 are needed

b) No because the sample is small for the central limit theorem to apply

c) Yes because on sample sizes of 15 are needed

d) Yes since it is normally distributed any sample size will work

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
S
6
Standard Deviation
92 69
Student
Fourth year
First year
Difference
3
61 54 83
48
35
23
38
2443
4945
49
34
15
75 48
17
21
7
72
17.
55
8
96
84
12
Mean
72.00
47.50
24.50
17.24
23.34
16.90

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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