The heights (in metres) of the winners and runners-up in elections to a particular post were recorded. Winner 1.78 1.87 1.87 1.90 1.91 1.91 1.82 1.82 Runner-up 1.85 1.78 1.79 1.74 1.90 1.90 1.87 1.95 (a) Plot a scatter graph of these data. (b) The following output was obtained from an analysis carried out in R: > winner<-c(1.78, 1.87, 1.87, 1.90, 1.91, 1.91, 1.82, 1.82) > runnerup<-c(1.85, 1.78, 1.79, 1.74, 1.90, 1.90, 1.87, 1.95) > cor.test (winner,runnerup) Pearson's product-moment correlation data: winner and runnerup

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The heights (in metres) of the winners and runners-up in elections to a particular post
were recorded.
Winner 1.78 1.87 1.87 1.90 1.91 1.91 1.82 1.82
Runner-up 1.85 1.78 1.79 1.74 1.90 1.90 1.87 1.95
(a) Plot a scatter graph of these data.
(b) The following output was obtained from an analysis carried out in R:
> winner<-c(1.78, 1.87, 1.87, 1.90, 1.91, 1.91, 1.82, 1.82)
> runnerup<-c(1.85, 1.78, 1.79, 1.74, 1.90, 1.90, 1.87, 1.95)
> cor.test(winner, runnerup)
Pearson's product-moment correlation
data: winner and runnerup
t = -0.56964, df = 6, p-value = 0.5896
alternative hypothesis: true correlation is not equal to 0
95 percent confidence interval:
-0.8030109 0.5689796
sample estimates:
cor
-0.2265121
(i) Explain clearly which analysis is being carried out.
(ii) What can you conclude from the p-value?
(iii) Interpret the confidence interval.
Transcribed Image Text:The heights (in metres) of the winners and runners-up in elections to a particular post were recorded. Winner 1.78 1.87 1.87 1.90 1.91 1.91 1.82 1.82 Runner-up 1.85 1.78 1.79 1.74 1.90 1.90 1.87 1.95 (a) Plot a scatter graph of these data. (b) The following output was obtained from an analysis carried out in R: > winner<-c(1.78, 1.87, 1.87, 1.90, 1.91, 1.91, 1.82, 1.82) > runnerup<-c(1.85, 1.78, 1.79, 1.74, 1.90, 1.90, 1.87, 1.95) > cor.test(winner, runnerup) Pearson's product-moment correlation data: winner and runnerup t = -0.56964, df = 6, p-value = 0.5896 alternative hypothesis: true correlation is not equal to 0 95 percent confidence interval: -0.8030109 0.5689796 sample estimates: cor -0.2265121 (i) Explain clearly which analysis is being carried out. (ii) What can you conclude from the p-value? (iii) Interpret the confidence interval.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman