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.    Height (cm) of President 185 179 181 178 197 168   Height (cm) of Main Opponent 177 174 175 175 195 185     Identify the test statistic? Identify the​ P-value? 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 is ? cm<μd cm.

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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 selected presidents along with the heights of their main opponents. 
 
Height (cm) of President
185
179
181
178
197
168
 
Height (cm) of Main Opponent
177
174
175
175
195
185
 
 
  1. Identify the test statistic?
  2. Identify the​ P-value?
  3. 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 is
    ? cm<μd<? cm.
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