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?

a) This experiment cannot be simulated using a random digit table.

b) Assign 2 digit numbers are follows: 00-2- are A; 00-30 are B; 00-40 are C.

c) Assign 1 digit numbers as follows: 0, 1 are A; 2, 3, 4 are B; 5, 6, 7, 8 are C; 9 is other grades

d) Assign 1 digit numbers as follows: 0, 1 are A; 2, 3, 4 are B; 5, 6, 7, 8 are C; 9 is D.

e) Assign 2-digit numbers as follows: 90-99 are A; 80-89 are B; 70-79 are C; 60-69 are D; and 00-59 are F.

Answer 1

Option C

As it is known that in previous semesters 20% students receive an A, 30% receive a B, 40% receive a C and rest receive other grade D.

So it is quite evident that the random number should have proportions among them and that should be based on above percentages.

So in option C, there are 10 outcomes of random number from 0 to 9 and only 2 outcomes favour grade A that is 20% and 3 numbers favour grade B that is 30% and 4 numbers favour grade C that is 40% and 10% other grades.

Hence this is accurate proportion as required hence option C.

Thank you !!