A calculus professor posted the following grade distribution ...

[Sportsfan2111]

A calculus professor posted the following grade distribution guidelines for her elementary calculus class: 8 A, 35 B, 40 C, 12 D, and 5 F. A sample of 100 elementary statistics grades at the end of last semester showed 12 As, 30 Bs, 35 Cs, 15 Ds, and 8 Fs. Test at the 5 significance level to determine whether the actual grades deviate significantly from the posted grade distribution guidelines.

Question 2

What is meant by a payoff table?

[Natalie4ever]

Answer to Question 1

H0: p1 = .08, p2 = .35, p3 = .40, p4 = .12, p5 = .05
H1: At least one proportion differs from their specified values
Rejection region: 2 > 2.05,4 = 9.488
Test statistic: 2 = 4.606
Conclusion: Cannot reject the null hypothesis. The actual grades do not deviate significantly from the posted grade distribution guidelines, according to the data.

Answer to Question 2

The payoff table is a table in which the rows are states of nature (events), and the columns are decision alternatives (acts), and the entry at each intersection of a row and column is a numerical payoff such as a profit or loss. The table may also include estimated probabilities for the states of nature.