Question

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 selected presidents along with the heights of their main opponents. Complete parts​ (a) and​ (b) below. Height (cm) of President Height (cm) of Main Opponent 187 179 183 178 182 167 189 176 192 194 168 186 a. Use the sample data with a 0.010.01 significance level to test the claim that for the population of heights for presidents and their main​ opponents, the differences have a mean greater than 0 cm. In this​ example, mu Subscript dμd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the​ president's height minus their main​ opponent's height. What are the null and alternative hypotheses for the hypothesis​ test?

Identify the test statistic. The confidence interval is

Answer 1

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