1. Describe how you will select a proportionate sample of 40, from a population of 160 students comprising 120 males and 40 females. 2. Discuss fully one data collection instrument... 1. Describe how you will select a proportionate sample of 40, from a population of 160 students comprising 120 males and 40 females. 2. Discuss fully one data collection instrument known to you, paying attention to its strengths and weaknesses. 3. The Head of the Department of Distance Education wants to use the fishbowl technique, to select 40 out of 200 level 300 students for a research study. Describe how the HOD will select the 40 students. 4. Using the systematic sampling technique, identify the elements within a population of 300 who will form a sample of 30, if the random number chosen relative to the kth unit is 8.
Understand the Problem
The image contains four questions related to sampling methods and data collection. These questions require an understanding of statistical concepts and the ability to apply them in practical scenarios. The first question involves proportional sampling, the second is a general discussion question, the third describes the fishbowl technique, and the fourth involves systematic sampling.
Answer
Please see the answer section for a detailed explanation of each question
- To select a proportionate sample of 40 from 160 students (120 males, 40 females):
- Calculate the proportion of males: (120/160) * 40 = 30 males.
- Calculate the proportion of females: (40/160) * 40 = 10 females.
- Randomly select 30 males and 10 females.
- Data Collection Instrument: Questionnaire.
*Strengths: Questionnaires can collect data from large samples, are cost-effective, and allow anonymity.
*Weaknesses: May have low response rates, and be subject to response bias. - Fishbowl Technique:
- Write each student's name on a slip of paper.
- Place all slips in a bowl.
- Thoroughly mix the slips.
- Randomly draw 40 slips without replacement.
- Systematic Sampling:
- Calculate the sampling interval: 300/30 = 10.
- The random number is 8, so the first element selected is 8.
- Select every 10th element after that (8, 18, 28, 38, etc.) until you have 30 elements.
Answer for screen readers
- To select a proportionate sample of 40 from 160 students (120 males, 40 females):
- Calculate the proportion of males: (120/160) * 40 = 30 males.
- Calculate the proportion of females: (40/160) * 40 = 10 females.
- Randomly select 30 males and 10 females.
- Data Collection Instrument: Questionnaire.
*Strengths: Questionnaires can collect data from large samples, are cost-effective, and allow anonymity.
*Weaknesses: May have low response rates, and be subject to response bias. - Fishbowl Technique:
- Write each student's name on a slip of paper.
- Place all slips in a bowl.
- Thoroughly mix the slips.
- Randomly draw 40 slips without replacement.
- Systematic Sampling:
- Calculate the sampling interval: 300/30 = 10.
- The random number is 8, so the first element selected is 8.
- Select every 10th element after that (8, 18, 28, 38, etc.) until you have 30 elements.
More Information
Systematic sampling involves selecting elements at regular intervals from an ordered list. A fishbowl technique is a simple random sampling method.
Tips
Ensure the random number is within the sampling interval for systematic sampling. When using questionnaires, carefully design questions to minimize bias.
Sources
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