Question

The mathematics department is considering revising how statistics is taught. In order to see if their changes will be effective in increasing student performance, they decided to run a Simulated Experiment. Previous semesters have that 20% of students receive an A in the class, 30% receive a B, and 40% receive a C. How would you assign values so you can use a Random Digit Table to run this experiment?

Answer 1

10% student got A, 40% got B, 20% got C and (100-70)% = 30% got other grades.

So, we can say P(A) = 0.1, P(B) = 0.4, P(C) = 0.2 and P(other grades) = 0.3

In Random number table every single digit(that are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) has equally likely to come i.e.

P(any single digit) = 0.1

So we can assign numbers to grades such that the probability sum comes out to be same

0 -> A , because P(getting 0) = P(A) = 0.1

1, 2, 3 and 4 -> B, because P(getting 1, 2, 3 and 4) = P(B) = 0.4

5 and 6 -> C, because P(getting 5 and 6) = P(C) = 0.2

7, 8 and 9 -> other grades , because P(getting 7, 8 and 9) = P(other grades) = 0.3