a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm.
a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm.
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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Transcribed Image Text:A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed
are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete
parts (a) and (b) below.
Height (cm) of President
178 179 177 192 185 175
Height (cm) of Main Opponent 165 189 174 166 184 182
a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents
and their main opponents, the differences have a mean greater than 0 cm.
In this example, µd is the mean value of the differences d for the population of all pairs of data, where each individual
difference d is defined as the president's height minus their main opponent's height. What are the null and alternative
hypotheses for the hypothesis test?
= 0 cm
Ho: Md
H₁: Hd > 0 cm
(Type integers or decimals. Do not round.)
Identify the test statistic.
t=
(Round to two decimal places as needed.)
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Follow-up Question
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is ____ cm < μd < ____cm.
(Round to one decimal place as needed.)
Solution
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