Listed below are the heights of candidates who won elections and the heights of the candidates with the next highest number of votes. The data are in chronological?order, so the corresponding heights from the two lists are matched. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a? 95% confidence interval estimate of the mean of the population of all? "winner/runner-up" differences. Does height appear to be an important factor in winning an? election
Winner,Runner-Up 73,71 76,72 71,72 72,72 69,69 76,73 70,69 73,70
Construct the? 95% confidence interval.? (Subtract the height of the? runner-up from the height of the winner to find the? difference, d.)
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?(Round to two decimal places as? needed.)