# A researcher is interested in the cumulative grade point average (CGPA) of students who enrolled in a Statistics course this semester. There are three groups, namely A, B and C which consist of 30 students for group A, 40 students for Group B and 30 students for group C. A sample of 50 students are randomly selected in this study. i) State the population and sampling frame. ii) State the variable of interest. iii) Give the appropriate sampling technique to be used for this study. iv) Calculate the number of students that should be selected from each group. v) Suggest the data collection method for this study. Give ONE advantage and ONE disadvantage.

Will Underwood 2022-09-22 Answered
A researcher is interested in the cumulative grade point average (CGPA) of students who enrolled in a Statistics course this semester. There are three groups, namely A, B and C which consist of 30 students for group A, 40 students for Group B and 30 students for group C. A sample of 50 students are randomly selected in this study.
i) State the population and sampling frame.
ii) State the variable of interest.
iii) Give the appropriate sampling technique to be used for this study.
iv) Calculate the number of students that should be selected from each group.
v) Suggest the data collection method for this study. Give ONE advantage and ONE disadvantage.
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Mckayla Carlson
(i) The population is the students who enrolled in Statistic course in this semester and the sampling frame is all the students in this semester who enrolled in Statistics course.
(ii) The variable of interest is Cumumative grade point average (CGPA).(iii)The appropriate sampling technique to be used for this study is stratified random sampling.(iv) The number of students that should be selected from group A is,
$n\left(A\right)=\frac{n}{N}×{N}_{A}\phantom{\rule{0ex}{0ex}}=\frac{50}{100}×30\phantom{\rule{0ex}{0ex}}=15$
The number of students that should be selected from group B is,
$n\left(B\right)=\frac{n}{N}×{N}_{B}\phantom{\rule{0ex}{0ex}}=\frac{50}{100}×40\phantom{\rule{0ex}{0ex}}=20$
The number of students that should be selected from group C is,
$n\left(B\right)=\frac{n}{N}×{N}_{C}\phantom{\rule{0ex}{0ex}}=\frac{50}{100}×30\phantom{\rule{0ex}{0ex}}=15$
(v) The data collection method for this study can be observing data from the overall school reports (observation). Advantage of this method is that there will be no respondent error and the disadvantage is that there might be typo error in the school record