Answer:
If I were to determine the GPA of students at my school using a simple random sample, I would follow these steps to collect the sample:
Define the population: Clearly define the population of interest, which in this case would be all the students at my school.
Determine the sample size: Decide on the desired sample size based on factors like the level of precision needed, available resources, and time constraints.
Assign identification numbers: Assign unique identification numbers to each student in the population. This ensures that every student has an equal chance of being selected in the random sample.
Generate random numbers: Use a random number generator or a random number table to generate a set of random numbers. The range of the random numbers should correspond to the assigned identification numbers of the students.
Select the sample: Match the generated random numbers with the identification numbers of the students to determine the sample. For example, if the random number is 15 and the student with identification number 15 has not been selected before, include that student in the sample.
Collect GPA data: Once the sample is determined, collect the GPA data of the selected students. This can be done through various means such as accessing academic records, conducting surveys, or using online platforms where students submit their grades.
Analyze the data: Calculate the GPA for each student in the sample based on the collected data. This could involve averaging the grades or using the specific GPA calculation method used by the school.
Calculate the sample statistics: Determine the sample mean GPA, standard deviation, confidence intervals, or any other relevant statistics to summarize the data.
Explanation:
It's worth noting that conducting a simple random sample requires careful attention to ensure that every student in the population has an equal chance of being selected. This helps to minimize bias and ensure the representativeness of the sample.