In a recent wine tasting held by the J. S.Wine Club, club members rated eight wines. Information concerning the country of origin and the price were not known to the club members until after the tasting took place. The wines rated (and the prices paid for them) were
• French white, $10.59
• Italian white, $8.50
• Italian red, $8.50
• French burgundy (red), $10.69
• French burgundy (red), $11.75
• California Beaujolais (red), $10.50
• French white, $9.75
• California white, $13.59
The summated ratings over several characteristics for the 12 club members are in the data file Wine
a. At the 0.01 level of significance, is there evidence of a difference in the mean rating scores among the wines?
b. What assumptions are necessary in order to do (a) of this problem? Comment on the validity of these assumptions.
c. If appropriate, use the Tukey procedure to determine the wines that differ in mean rating. (Use α = 0.01.)
d. Based upon your results in (c), do you think that country of origin, type of wine, or price has had an effect on the ratings?
e. Determine the relative efficiency of the randomized block design as compared with the completely randomized design.