Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal Use a 0.10 signicance level to test for a difference between the measurements from the two arms What can be concluded? Right arm 152 144 129 139 136 Ci Left arm 168 171 189 139 142 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 measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? V Hozpd= Ho: pdao H1:pd#0 H1:pd>0 H0 pd: Ho:pd0 H1 ltd'o \"(lid= Identify the test statistic. t= (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 E) 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? H0: \"d = 0 cm H1: lid > 0 cm (Type integers or decimals. Do not round.) Identify the test statistic. t= 0.30 (Round to two decimal places as needed.) Identify the Pvalue. P-value = (Round to three decimal places as needed.) Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% condence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 61h 7 10 2 8 5 CI Friday the 13th 10 14 14 14 11 E) 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 number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval.