Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d and so. In general, what does ud represent? Temperature ( F) at 8 AM 97.9 98.7 97.1 97.7 97.7 Temperature (OF) at 12 AM 98.5 99.2 97.3 97.4 98.2 Let the temperature at 8 AM be the first sample, and the temperature at 12 AM be the second sample. Find the values of d and sd. d= -0.30 (Type an integer or a decimal. Do not round.) Sd = (Round to two decimal places as needed.)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)ofPresident 177 173 176 178 183 182 CI Height(cm)ofMain0pponent 168 187 165 184 182 176 a. Use the sample data with a 0.05 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, Pd 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? Ho: Pd = 0 cm H1: Pd > 0 cm (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.) When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the table below. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Using a 0.05 signicance level, is there sufficient evidence to support the claim that the drug is effective in lowering systolic blood pressure? Before 175 170 189 169 210 158 195 183 164 205 202 159 D After 162 160 155 186 179 159 176 144 148 143 172 163 In this example, \"d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is dened as the systolic blood pressure reading before the drug was taken minus the reading after the drug was taken. What are the null and alternative hypotheses for the hypothesis test? Ho: pd=0 H0:pd#0 H1:pd0 H1zpd>0 Identify the test statistic. t= 3.11 (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)