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 186 185 175 189 184 175 Height (cm) of Main Opponent 172 175 180 178 192 181 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, Hd 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? Ho Hd == 0 cm H₁ Hd > 0 cm (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
icon
Related questions
Question

please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly

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
186 185 175 189 184 175
Height (cm) of Main Opponent 172 175 180 178 192 181
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, Hd 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?
Ho Hd
==
0 cm
H₁ Hd
> 0 cm
(Type integers or decimals. Do not round.)
Identify the test statistic.
t=
(Round to two decimal places as needed.)
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 186 185 175 189 184 175 Height (cm) of Main Opponent 172 175 180 178 192 181 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, Hd 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? Ho Hd == 0 cm H₁ Hd > 0 cm (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt