Reference no: EM132155429

Can scented coupons increase sales? Three different coupons for juice were mailed to households - U (unscented), A (apple scented), and C (citrus scented). The number of cartons of the juice purchased with each type of coupon was measured at a store. The ANOVA p-value was < 0.001. The study concluded in its report, "There was strong evidence from the ANOVA that the individual purchases made by recipients of scented coupons were larger than the purchases in the two other groups (p < 0.0001)." Which of the following is correct?

a) There was <1% difference in mean scores among the groups.

b) The conclusion is wrong because ANOVA tests for equality of means and not individual scores.

c) Less than 1% of individuals had lower scores when they received unscented coupons than when they received scented coupons.

d) The conclusion is wrong because Analysis of Variance (ANOVA) method compares the variance of the individual scores.

Next, Can scented coupons increase sales? Three different coupons for juice were mailed to households - U (unscented), A (apple scented), and C (citrus scented). The number of cartons of the juice purchased with each type of coupon was measured at a store. The following is the output from an analysis of the experiment:

-----Analysis of variance

--source------DF------sum of squares--------mean square-------f ratio------ prob>F

--Scent--------2--------18.828255-------------9.41413---------------15.2826-----<0.0001*

--Error--------124------76.384343-------------0.61600--------------------------------------------

--C. Total----126------95.212598--------------------------------------------------------------------

The estimate of the within-group standard deviation is about:

a) 15.3

b) 0.61

c) 76.4

d) 0.78