Listed below are the heights of candidates who won elections and the heights of

Question

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? Construct the 95% confidence interval. (Subtract the height of the runner-up from the height of the winner to find the difference, d.)

Explanation / Answer

Paired T-Test and CI: Winner, Runner-up

Descriptive Statistics

Estimation for Paired Difference

µ_difference: mean of (Winner - Runner-up)

Test

confidence interval = (-0.845, 3.095)

as it contains 0 , we fail to reject the null

option A) is correct

Sample N Mean StDev SE Mean Winner 8 72.00 3.93 1.39 Runner-up 8 70.88 2.30 0.81

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