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A popular theory is that presidential candidates have an advantage if they are taller than their...

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Statistics

A popular theory is that presidential candidates have anadvantage if they are taller than their main opponents. Listed areheights​ (in centimeters) of randomly selected presidents alongwith the heights of their main opponents. Complete parts​ (a) and​(b) below. Height left parenthesis cm right parenthesis ofPresident Height (cm) of President 189 189 174 174 181 181 180 180187 187 166 166 Height left parenthesis cm right parenthesis ofMain Opponent Height (cm) of Main Opponent 177 177 189 189 170 170166 166 180 180 180 180 a. Use the sample data with a 0.05 0.05significance level to test the claim that for the population ofheights for presidents and their main​ opponents, the differenceshave a mean greater than 0 cm.

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