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Question 2 In each of the following situations, identify the scale(s) of measurement that is appropriate...

Question 2 In each of the following situations, identify the scale(s) of measurement that is appropriate for each situation.

(i) A visiting school inspector asked a class teacher to rank the thirty students in her class on “level of discipline”, with 1 standing for the least disciplined student and 30 standing for the most disciplined student

. (ii) Identical twins living in different environments are being compared to find out the influence of the environment on their academic performance. A standard test on academic performance is giving to fifty (50) sets of identical twins and their performance graded over 100.

(iii) “Regular” students and students admitted under the distance learning programme into Accra Institute of Technology are administrated a questionnaire measuring “level of maturity” of the students, with scores on “level of maturity” ranging from 0 to 1

(iv) One thousand students in a statistics class are asked to rate their lecturer on teaching effectiveness at the end of the semester, where rating scores on teaching effectiveness can possibly range between 10 and 50.

(v) A relationship is to be established between “Campus of Study” and “Academic Performance” among Accra Institute of Technology students at KCC campus and Seaview campus based on their final grade point average (FGPA), classified as “Good” (FGPA of 3.2 or better), “Average” (FGPA of 2.5 to 3.19) or “Poor” (FGPA below 2.5). Five hundred (500) and 100 students are sampled from KCC campus and Seaview campus respectively. Out of the 500 students sampled from KCC campus, 200 were classified as “Good” as “Average” and the rest as “Poor”. Out of the 100 students sampled from Seaview campus, 30 were classified as “Good”, 40 as “Average”, and the rest as “Poor”.

Solutions

Expert Solution

(i) A visiting school inspector asked a class teacher to rank the thirty students in her class on “level of discipline”, with 1 standing for the least disciplined student and 30 standing for the most disciplined student- Ordinal Scale

(ii) Identical twins living in different environments are being compared to find out the influence of the environment on their academic performance. A standard test on academic performance is giving to fifty (50) sets of identical twins and their performance graded over 100.-Ratio Scale

(iii) “Regular” students and students admitted under the distance learning programme into Accra Institute of Technology are administrated a questionnaire measuring “level of maturity” of the students, with scores on “level of maturity” ranging from 0 to 1-Nominal Scale

(iv) One thousand students in a statistics class are asked to rate their lecturer on teaching effectiveness at the end of the semester, where rating scores on teaching effectiveness can possibly range between 10 and 50.-Interval Scale

(v) A relationship is to be established between “Campus of Study” and “Academic Performance” among Accra Institute of Technology students at KCC campus and Seaview campus based on their final grade point average (FGPA), classified as “Good” (FGPA of 3.2 or better), “Average” (FGPA of 2.5 to 3.19) or “Poor” (FGPA below 2.5). Five hundred (500) and 100 students are sampled from KCC campus and Seaview campus respectively. Out of the 500 students sampled from KCC campus, 200 were classified as “Good” as “Average” and the rest as “Poor”. Out of the 100 students sampled from Seaview campus, 30 were classified as “Good”, 40 as “Average”, and the rest as “Poor”.-Ratio Scale


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