Question

You are considering various sampling plans for an upcoming study. Based on the descriptions below, please tell me whether the sampling plan is: SRS, systematic, stratified, or cluster

1. You assign a number to each person from a list and randomly choose a number for each person you select for the sample.

2. You want every person to have an equal probability of being chosen throughout the entire selection process.

3. There are different groups of people that you want information about (e.g., RGV residents, Mexican nationals, and Winter Texans), and you want to sample a certain number from each group.

4. You choose one random number to select the first person in the sample and add a constant to that number to choose the other individuals.

5. You want to do a study on freshman UTPA students staying in dorms. You assign each dorm a number and randomly select two dorms; all freshman from the selected dorms are surveyed.

For this next part of the assignment, please refer to the Excel file titled "Sampling" that is within the assignment instructions folder.

6. You want to conduct a simple random sample (SRS) of four people from among your classmates. You use the following randomly generated numbers to select your sample: 27, 36, 58, 62. Who are the four people you will include in your sample?

7. You want to conduct a systematic sample (SRS) of four people from the class. Based on the number of students in the class and the desired sample size, what is k, the sampling interval?

8. Continuing with the systematic sample problem from the prior question, you use the following randomly generated number to select your sample: 05. Using the sample interval you just calculated in question 7, find the four people who will be selected. What are their names?

9. You want to do a sample with a local waterpark’s annual passholder data, which consists of 5,000 people. There are three different types of passes (premium, standard, and basic), and the number of passholders is the following: 250 premium; 1,750 standard; and 3,000 basic. If you want to do a proportionate stratified sample of 200 of those people, how many passholders would you sample from the premium, standard, and basic pass types? (Hint: they have to add up to 200)

10. Let’s say you are interested in doing a study on four groups, or strata, that are of equal size. If you were to do proportionate stratified sampling, your sample size for each group would be the same. Assuming you’re equally interested in all four groups, under what circumstance would it make sense to sample more from one of the groups?

1. One word response: SRS, systematic, stratified, or cluster

2. One word response: SRS, systematic, stratified, or cluster

3. One word response: SRS, systematic, stratified, or cluster

4. One word response: SRS, systematic, stratified, or cluster

5. One word response: SRS, systematic, stratified, or cluster

6. Four names, in the correct order

7. Numeric answer, along with the equation

8. Four names, in the correct order

9. Three numbers: one for premium, one for standard, and one for basic

10. Explanation

Answer 1

1. Assigning a number to population and then randomly choosing numbers for selecting persons for sampling is Simple random sampling. This is kind of a lottery system.

2. Equal opportunity of selection for sampling can be found in Simple random sampling because it is kind of a probability of choosing n object from N population for sampling.

3. This is an example of stratified sampling where a population is divided in to groups based on some specific category. And then you choose certain people from each group for sampling.

4. This one is an example of systematic random sampling where sample mebers from large population are selected according to a random starting point but with a fixed periodic interval and the interval is called sampling interval.

5. It is an example of cluster sampling where clusters are chosen with simple random sampling process as sample clusters and then further sampling can be done. It makes easy to sample the specific people from a large population as it was difficult to choose all freshman at a time from.all dorms.

For next part of assignment as written to refer Excel sheet which seems to be missing here.Also as per policy I should answer first 4 questions. I wanted to answer others as well but due to.missing data and lack of time , I could not answer them

I apologize for the same.

Thanks