The mayor of gemelos, ca strongly believes that drinking coffee stunts growth. in an attempt to getcoffee banned from gemelos, the mayor gathers the 43 pairs of young (under the age of 18) identicaltwins living in gemelos. for the course of five months he requires one twin to drink coffee and the otherto abstain from coffee drinking. then the mayor records the height of each twin. (a) is this a matched pairs design? justify. (b) state the nul and alternative hypothesis. (c) assuming the mean and standard deviation of the differences in height are 0.56 inches and 0.21 respectively, what is the test statistic and p-value? (d) based on your findings, should the mayor ban coffee from gemelos, ca?