Ateacher finds that final grades in the statistics department are distributed as: a, 25%; b, 25%; c, 40%; d, 5%; f, 5%. at the end of a randomly selected semester, the following grades were recorded. calculate the chi-square test statistic chi squared used to determine if the grade distribution for the department is different than expected. use alpha equals 0.01 .

grade a b c d f
number 42 36 60 8 14

(a) 3.41
(b) 5.25
(c) 6.87
(d) 4.82