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 PresidentHeight (cm) of Main Opponent 162 171 182 168 195 186179 178 177 178 187 167 Oa. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their mainopponents, the differences have a mean greater than 0 cm.In this example, P, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is definedas the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test?Ho HdcmH1 Pdcm(Type integers or decimals. Do not round.)Identify the test statistic.t%=(Round to two decimal places as needed.)Enter vour answer in each of the answer boyon P-value =(Round to three decimal places as needed.)What is the conclusion based on the hypothesis test?Since the P-value isV the significance level,support the claim that presidents tend to be taller than their opponents.the null hypothesis. ThereV sufficient evidence tob. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interrvalleads to the same conclusion reached in part (a)?rkThe confidence interval is cm < Hg <cm.(Round to one decimal place as needed.)What feature of the confidence interval leads to the same conclusion reached in part (a)?Enter your answer in each of the answer boxes.

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a) Consider that µd is the true mean heights of presidents and their main opponents. That is…

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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 Height (cm) of Main Opponent 162 171 182 168 195 186 179 178 177 178 187 167 O 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 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 Height (cm) of Main Opponent 162 171 182 168 195 186 179 178 177 178 187 167 O 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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A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights of randomly selected presidents along with the heights of their main opponents. Using a 0.01 significance level, test the claim that the population of heights for presidents and their main opponents, the differences have a mean greater than 0. Height (cm) of President 184 181 174 186 183 170 Height (cm) of Opponent 169 178 175 168 187 182 Determine the test statistic.Round your answer to 2 decimal places.
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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 Height (cm) of Main Opponent 178 181 171 167 183 177 184 170 178 174 203 166 9 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, Ha 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? Họ: Ha cm H1: Hd cm (Type integers or decimals. Do not round.)
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