TheStudent'stdistribution tablegives critical values for the Student'stdistribution. Use an appropriate d.f. as the row header. For aright-tailedtest, the column header is the value offound in theone-tail arearow. For aleft-tailedtest, the column header is the value offound in theone-tail arearow, but you must change the sign of the critical valuettot. For atwo-tailedtest, the column header is the value offrom thetwo-tail arearow. The critical values are thetvalues shown.A random sample of46adult coyotes in a region of northern Minnesota showed the average age to bex=2.09years, with sample standard deviations=0.77years. However, it is thought that the overall population mean age of coyotes is= 1.75.Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use= 0.01.Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.)test statistic=critical value=