Identify the sampling plan as either cluster, stratified, or 1-in-k systematic samples A factory worker randomly selects 25 ball bearings from each of the seven batches produced that day. - cluster - stratified - 1-in-k systematic
Nikolai Decker
Answered question
2022-10-30
A factory worker randomly selects 25 ball bearings from each of the seven batches produced that day.
- cluster
- stratified
- 1-in-k systematic
Answer & Explanation
bigfreakystargl
Beginner2022-10-31Added 23 answers
Stratified sampling method: In this method of sampling, the heterogeneous population is divided into a number of homogeneous groups called strata. A sample is obtained from each stratum. The size of the sample from each stratum differs according to the relative importance of the stratum in the population.
1-in-k systematic sampling: In this method of sampling, the units are arranged in some way. One would randomly select the first unit and then select every k-th unit.
It is given that 25 balls bearings are selected from each even batches.
In cluster sampling, clusters are selected randomly and then each unit of these drawn clusters is studied. But in the given question, 25 ball bearings are selected from each batch. Therefore, the first option, 'cluster,' is incorrect.
In 1-in-k systematic sampling, the first unit is selected randomly and then every kth unit is selected. But in the given question, no such pattern is followed. Therefore, the third option, '1-in-k systematic,' is incorrect.
In stratified sampling, 25 units are selected randomly from each stratum (here, batches are strata). Therefore, the second option, 'stratified,' is correct.Since the sampling plan is stratified, the blank should be filled with NONE.
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