3) A tax auditor has a pile of federal tax returns and she has been directed...

3) A tax auditor has a pile of federal tax returns and she has been directed to randomly select 20 of these returns for a special audit. Describe how systematic sampling could be used. 4) A recent radio station asked listeners to go to their website and vote for their favorite singing star. A responder would be randomly chosen and would receive two tickets to the performance of their choice. What type of sampling is used for the vote? 5) A community college is selected at random from all US community colleges and the GPAs and ages of all students from that college are examined. a) What type of sampling was done? b) What is the population of interest for this study? c) If the average GPA is computed for this sample would it be considered a statistic or a parameter? d) Suppose instead the researchers wanted to implement a Simple Random Sample of community college students, how might they do this? 6) Explain the difference between cluster sampling and stratified sampling.

Solutions

Expert Solution

(3)

Decide a random starting point and a fixed periodic interval.The starting point is got by random number generator. The fixed periodic intrval is calculated by dividing the population size by the sample size = 20. From the pile of federal tax return, first select sample1 at the starting point. Sample 2 will be afther the fixed periodic interval. Thus, all the 20 samples are taken.

(4)

Voluntary Response Sampling

(5)

(a)

Cluster Random Samplig

(b)

All students of US Community Colleges

(c)

Statistic

(d)

For Simple Random Sampling, desired number of samples is to be collected from entire students of US Community Colleges using Random Number Genrators.

(e)

In Cluster Sampling, the popu;ation is first split into groups. The overall sample consists of every member of some of the groups.

In Stratified Sampling, the population is first split into groups. The overall sample consists of some members from every group.

milcah answered 2 hours ago

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