Answered: randomly selected. Use the following…

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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Research Question: Is there a difference between the average height of male and female basketball players in the club?

28 male and 25 female basketball players from the club were randomly selected. Use the following image to answer the questions below.

Q1) What are the degrees of freedom?

Q2) What is the correct decision for this test? Choose one from below

-Since p-value < 0.05, reject H₀

-Since p-value > 0.05, do not reject H₀

-Since p-value < 0.05, do not reject H₀

-Since p-value > 0.05, reject H₀

Q3)What is an appropriate conclusion for this test? Choose one from below

-None of the these

-There is a difference between the average heights of male and female basketball players in Australia and on average, male players are taller than the female players

-There is no difference between the average heights of male and female basketball in Australia and the average height could be same between the male and female players.

-There is a difference between the average heights of male and female basketball players in Australia and on average, male players are shorter than the female players

Q3a) How would you interpret the confidence interval interns of the research question. Choose one from below

-We are 95% confident that the male players are 1.30cm and 4.27cm shorter, on average than the female players.

-We are 95% confident that the male players are approximately 1.30 cm and 4.27 cm taller, on average than the female players.

-Since the confidence interval contains zero, we are 95% confident that the average height could be same between the males and females players

-We are 95% confident that the male players are 170.27cm taller than the female players, on average.

Two Sample t-test
data: male_height and female_height
t = 3.763, df = 51, p-value
0.0004347
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
1.298592 4.268813
sample estimates:
mean of male_height mean of female_height
170.2727
167.4890

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