Statistics: Heights of Presidents and Runners-Up
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Theories have been developed about the heights of winning candidates for the U.S. presidency and the heights of candidates who were runners-up. Listed below are heights (in inches) from recent presidential elections. Is there a linear correlation between the heights of candidates who won and the heights of the candidates who runners-up?
Winner: 69.5, 73, 73, 74, 74.5, 74.5, 71, 71
Runner-up: 72, 69.5, 70, 68, 74, 74, 73, 76
Construct a scatterplot. Find the value of the linear correlation coefficient r and find the critical values of r using alpha = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables.
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This solution helps with a problem regarding statistics. Step by step calculations are given.
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Here we want to test the population correlation coefficient with t test.
Null Hypothesis (Ho): p = 0
Alternative Hypothesis (Ha): p does not equal 0
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