Question 10
(The following is a partially imaginary scenario)
The BA discourse is often cluttered with queries / requests related to solutions for Past Year Question Papers (PYQP). The course instructor, Dr. Milo, had been informing that students need to put in effort to find solutions by searching the discourse. However, the results seem to be disappointing. Therefore, Dr. Milo wanted to do a few basic analytics on discourse behaviour of students. Past student data was collected for the analysis.
Past data was collected for the BA terms in Jan-2022, May-2022, Sep-2022, Jan-2023, May-2023 and Sep-2023. For each term, 150 randomly selected unique student IDs were sampled. Of the 150 student IDs, 75 were “Male” and the remaining were “Female”. The learners in the discourse have either “followed the instructions” or “not followed the instructions” or “have not accessed the discourse at all” (these three are referred to as access categories). Specifically, for the sample data in the different terms (in sequence of earliest term to later term i.e. Jan-2022 to Sep-2023) it was observed that
1. For the Male sample: 30, 20, 35, 35, 45 and 35 had not followed the instructions respectively in each term (i.e 30 male learners had not followed the instructions in Jan-2022 term and so on) 2. For the Male sample: 20, 10, 15, 15, 15 and 10 had not accessed discourse at all respectively in each term (i.e 20 male learners had not accessed discourse at all in Jan-2022 term and so on) 3. For the female sample: 15, 22, 33, 25, 20 and 20 had followed the instructions respectively in each term (i.e 15 female learners had followed the instructions in Jan-2022 term and so on) 4. For the female sample: 30, 20, 25, 25, 25 and 10 had not accessed discourse at all respectively in each term (i.e 30 female learners had not accessed discourse at all in Jan-2022 term and so on) Moreover, Dr. Milo assumes that all learners in the “followed the instructions” category are Uniformly distributed between 4 and 75. A total of 6 bins of equal area are created for performing the appropriate statistical test. Each term is a sample point.
Given this information, answer the sub questions.
What will be the expected frequency in Bin-2 when performing the hypothesis test to check if Dr. Milo’s assumption that all learners in the “followed the instructions” category are Uniformly distributed? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)