M&M Treatment The table below lists 60 SAT scores separated into categories according to the color of the M&M candy used as a treatment. The SAT scores are based on data from the College Board, and the M&M color element is based on author whimsy.

a. Find the mean of the 20 SAT scores in each of the three categories. Do the three means appear to be approximately equal?

b. Find the median of the 20 SAT scores in each of the three categories. Do the three medians appear to be approximately equal?

c. Find the standard deviation of the 20 SAT scores in each of the three categories.

Do the three standard deviations appear to be approximately equal?

d. Test the null hypothesis that there is no difference between the mean SAT score of subjects treated with red M&Ms and the mean SAT score of subjects treated with green M&Ms.

e. Construct a 95% confidence interval estimate of the mean SAT score for the population of subjects receiving the red M&M treatment.

f. Test the null hypothesis that the three populations (red, green, and blue M&M treatments) have the same mean SAT score.

Red 1130 621 813 996 1030 1257 898 743 921 1179 1092 855 896 858 1095 1133 896 1190 908 699 Green 996 630 583 828 1121 993 1025 907 1111 1147 780 916 793 1188 499 1180 1229 1450 1071 1153 Blue 706 1068 1013 892 1370 1611 939 1004 821 915 866 848 1408 793 1097 1244 996 1131 1039 1159