Consider the compressive strength data from the table below. Consider the compressive strength data from the table below. Compressive Strength (in psi) of 80 Aluminum-Lithium Alloy Specimen 180 177 105 107 129 94 125 91 120 152 178 92 149 107 190 118 177 218 178 239 156 133 161 142 142 142 129 182 97 93 177 189 148 133 159 186 117 122 125 164

Exact answer

Use Linear, Quaratic and Cubic interpolations to solve the 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 185 170 179 191 194 179 9 Height (cm) of Main Opponent 170 184 174 166 194 182 Identify the test statistic. t= 0.57 (Round to two decimal places as needed.) Identify the P-value P-value = 0.286 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. 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…