A taste-testing experiment has been designed so that four brands of coffee are to be rated by nine experts. To avoid any carryover effects, the tasting sequence of the four brews is randomly determined for each of the nine expert tasters until a rating on a 7-point scale (1 = extremely unpleasing, 7 = extremely pleasing) is given for each of four characteristics: taste, aroma, richness, and acidity. The following table displays the ratings accumulated over all four characteristics.
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Experts       Coffee Brand
                     A   B     C    D
E.B.           24    26   25    22
N.B.          27    27   26    24
M.D.         19    22   20    16
M.H.         24     27   25    23
B.J.            22    25    22    21
R.J.            26    27    24    24
B.K.          27     26    22    23
B.M.         25     27    24    21
J.S.            22     23    20    19

“At a level of significance of 0.01 is the sufficient evidence to indicate that there is a difference in the summated ratings of the four brands of coffee? “ Write down a full report to achieve the above target. (Your report shouldinclude: appropriate statistical test, Suitable hypothesis, mean comparisons and other necessary analysis with the appropriate conclusions.)