(9)6. Researchers are evaluating a new drug for the treatment of Type II diabetes. They randomly assign 20 volunteers, each of whom has a history of poor glucose control levels, to 2 groups. One group gets the experimental drug on trial, the other receives the standard treatment regimen. At the end of the trial each participant has their A1C -a measure of long term blood glucose levels- tested and the results are summarized belovw Mean SC Standard 14.2 15.3 16.1 14.9 13.7 15.3 14.8 13.5 14.3 13.8 14.59 0.835 10.6 12.5 13.8 13.5 10.2 12.4 13.2 11.6 11.7 11.1 12.06 1.228 Trial NOTE: In the exam, the sample means and standard deviations will be provided (a) Researchers feel that it will be worthwhile to continue to fund research into the trial drug if the new regime lowers true A1C by one full point (i.e HTrial is at least 1.0 less than ,1 Standard). Test. at -0.05, whether of not the research should proceed. You can reasonably assume that the 2 groups have the same variance. For full marks show all the steps, show work and state what, if any, tables you are using and degrees of freedom as appropriate. (b) Provide a 95% Confidence Interval for the true difference in A1C means, ,-Pr