A teacher figures that final grades in the chemistry department are distributed as A, 25%; B, 25%; C, 40%; D, 5%; F, 5%. At the end of a randomly selected semester, the following number of grades were recorded. Determine if the grade distribution for the department is different than expected. Use = 0.01

Grade | A B C D F

Number | 36 42 60 8 14

H0: The grade distribution is as stated.

H1: The grade distribution is different than stated.

a) Determine the expected counts for each outcome.

Grade | A B C D E F

Expected Count |

b) What is the test statistics?

c) What is the degree of freedom?

d) Find the critical value or the p-value.

e) "Reject H0" or "Do not Reject H0"

f) State the conclusion