A winery owner wants to determine the effect of label information on the perceiv

Question

A winery owner wants to determine the effect of label information on the perceived quality of wine. The study was designed in a way that each of the 20 participants tastes two glasses of wine, and then rates the quality. The wine is the same, and the only difference is the label on the bottle of wine. One label indicates it is a French wine, and another savs it is an American wine, The rating of the wine is presented below. Conduct the appropriate statistical test (by hand and using a statistical software) to establish whether there is a significant difference in perception of wine quality (15 points) Label American Labe .00 7.00 1.50 .00 2.00 7.00 6.00 .00 7.00

Explanation / Answer

as std error =std deviation/(n)1/2=0.2986

and tstat =(4.65-0)/0.9443 =15.57

as this t value is very high and indicate highly signifcant difference in preception due to label changing.

corresponding p value =2.438*10-8

Participant French Label American Label d=x-y 1 7 1 6 2 7 2 5 3 6 2.5 3.5 4 6.5 3 3.5 5 7 1.5 5.5 6 6.5 1 5.5 7 6 2 4 8 7 1.5 5.5 9 7 3 4 10 6 2 4 mean 4.65 std deviation 0.9443

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