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 181 175 166 189 190 176 O Height (cm) of Main Opponent 171 188 164 184 195 172 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? 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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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
181 175 166 189 190 176
Height (cm) of Main Opponent 171 188 164 184 195 172
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: Md > 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 181 175 166 189 190 176 Height (cm) of Main Opponent 171 188 164 184 195 172 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: Md > 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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