The TOM 301 professor claims that the proportion of the grades in his classes fo

Question

The TOM 301 professor claims that the proportion of the grades in his classes follows the following distribution:

To read the above table, the top 20% of the students will receive an A, the next 25% in the class will receive a B, and so on.

This quarter, the following number of students received these grades:

Examine whether there is statistically significant evidence to show that the professor grade assignment does not follow his stated claim. What is the p-value from this analysis?

Grade A B C D F Percent 20 25 35 10 10

Explanation / Answer

lets convert the grades A,B,C,D,E as 1,2,3,4,5 respectively for the analysis

we will do a single factor anova

as pcal=0.04<alpha level=0.05 we will reject the null hypothesis and conclude that professor's claim is significant.

grade no. of student percent A 2 5.4% B 10 27.02% C 13 35.13% D 6 16.21% E 6 16.21% 37 100%

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