Randomly selected Americans from three age groups, "younger" (18-29), "middle" (30-64), and "older" (65+), are given an exercise to type up a document of 100 words. It is noted how many words that individuals type incorrectly. The summary statistics are given below. Younger: 1=1.50, 51:1.35, n1=10 Middle: 22:7.93, 52:1.54, n2=14 Older: 3=3.85, 53:19.75, n3=13 Round all answers to two decimal places. (a) (2 points) What is the overall/grand mean? (b) (2 points) What are the correct hypotheses for an ANOVA F-test? Null hypothesis: 27' Ho: #1 =2 =#3 = 0 7' Ho: #1 =l2 =I13 7\" Ho=#1*#2*#3*0 '7', Ho=#1*#2*#3 (j H0: at least one pi differs (7 Ho: all m differ Alternative hypothesis: 7' Ha=#1 =I12=I13 =0 7' Ha=H1 =I12 =I13 C' Ha=#1 *zf3* 0 7' \"aim ##2##3 (7 Ha: at least one u; differs A Ha: all M differ