Two different professors teach an introductory statistics course. The table shows the Prof. Alpha Prof. Beta distribution of final grades they reported. We wonder whether one of these professors is an "easier" grader. Answer parts a) and b) below. A 6. 11 B 9. 14 12 11 Below C 11 4 a) Find the expected counts for each cell in this table. Prof. Alpha Prof. Beta Round to two decimal places as needed.) A Below C Test the hypothesis about the two professors, and state an appropriate conclusion. (Assume a significance levei of a =0.05) state the appropriate null and alternative hypotheses. Choose the correct answer below. OA. Hg: The grade distributions are different. Ha: The grade distribution is the same for both professors.

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Two different professors teach an introductory statistics course. The table shows the
distribution of final grades they reported. We wonder whether one of these professors is
an "easier" grader. Answer parts a) and b) below.
Prof. Alpha
Prof. Betal
A
6.
11
B.
6.
14
12
Below C
11
4.
11
C....
a) Find the expected counts for each cell in this table.
Prof. Alpha
Prof. Beta
(Round to two decimal places as needed.)
A
B
Below C
b) Test the hypothesis about the two professors, and state an appropriate conclusion. (Assume a significance level of a= 0.05)
State the appropriate null and alternative hypotheses. Choose the correct answer below.
O A. Ho: The grade distributions are different.
HA: The grade distribution is the same for both professors.
O B. Ho: The grade distribution is the same for both professors.
Ha: Professor Beta gives out more C's than Professo Alpha.
OC. H: The grade distribution is the same for both professors.
HA: Professor Alpha gives out more A's than Professor Beta.
OD. Hg: The grade distribution is the same for both professors.
Transcribed Image Text:Two different professors teach an introductory statistics course. The table shows the distribution of final grades they reported. We wonder whether one of these professors is an "easier" grader. Answer parts a) and b) below. Prof. Alpha Prof. Betal A 6. 11 B. 6. 14 12 Below C 11 4. 11 C.... a) Find the expected counts for each cell in this table. Prof. Alpha Prof. Beta (Round to two decimal places as needed.) A B Below C b) Test the hypothesis about the two professors, and state an appropriate conclusion. (Assume a significance level of a= 0.05) State the appropriate null and alternative hypotheses. Choose the correct answer below. O A. Ho: The grade distributions are different. HA: The grade distribution is the same for both professors. O B. Ho: The grade distribution is the same for both professors. Ha: Professor Beta gives out more C's than Professo Alpha. OC. H: The grade distribution is the same for both professors. HA: Professor Alpha gives out more A's than Professor Beta. OD. Hg: The grade distribution is the same for both professors.
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