A popular theory is that presidential candidates have an advantage if they are taller than their main opponents . Listed are heights ( in centimeters...

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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 selectedpresidents along with the heights of their main opponents . Complete parts ( a) and ( b ) below .Height ( cm ) of President179 180 180 177 190 167 {`Height ( cm ) of Main Opponent 164 179 177 182 181\183a. Identify the test statistic.* =( Round to two decimal places as needed . !Identify the F-value .P-value =| Round to three decimal places as needed . !6. 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 isCMT = HOSCM .|Round to one decimal place as needed . !