1a) This is an example of Stratified Random Sampling.
b) This is an example of Systematic Random Sampling.
a. In this scenario, the population of boxes is divided into strata based on the production machines (machine 1 and other machines). Then, random samples are taken from each stratum. This approach ensures representation from each machine in the sample.
b. The sampler is selecting every 25th box from the large shipping boxes, which follows a systematic pattern. Systematic random sampling involves selecting every kth item from a list after randomly choosing a starting point. In this case, the starting point is random, but the subsequent selection follows a systematic pattern.
Suppose someone needs to randomly select a sample of boxes of Red Vines licorice. Each day, thousands of boxes are made at a processing plant. After they come off the production line, they are placed in large shipping boxes that fit 100 boxes of licorice. They are then stored in the warehouse for several days before being shipped out.
Identify the sampling techniques used
1. Convenience Sampling 2. Stratified Random Sampling 3. Cluster Sampling 4. Simple Random Sampling 5. Systematic Random Sampling 6. Voluntary Response
a) The boxes produced on machine 1 are thought to be different from the other machines. A portion of sample is randomly selected from the 400 boxes produced on machine 1. The rest of the sample is chosen randomly from the other machines.
b) The sampler takes every 25th box of Red Vines as he goes through the large shipping boxes.