The Turbine Oil Oxidation Test (TOST) and the Rotating Bomb Oxidation Test (RBOT) are two different procedures for evaluating the oxidation stability of steam turbine oils. An article reported the accompanying observations on x = TOST time (hr) and y = RBOT time (min) for 12 oil specimens. TOST 4200 3575 3750 3700 4050 2770 RBOT 370 335 375 315 350 205 TOST 4870 4500 3450 2725 3750 3300 RBOT 400 375 285 225 345 280a. calculate and interpret the value of the sample correlation coefficient (as do the article’s authors).b. how would the value of r be affected if we had let x = rbot time and y = tost time? c. how would the value of r be affected if rbot time were expressed in hours? d. construct normal probability plots and comment. e. carry out a test of hypotheses to decide whether rbot time and tost time are linearly related.