Describe what a sampling distribution of a sample statistic is: Many opinion sur

Question

Describe what a sampling distribution of a sample statistic is: Many opinion surveys are conducted by mail. In such a sampling procedure, a random sample of persons is selected from among a list of people who are supposed to constitute a target population. Each is sent a questionnaire and is requested to complete and return the questionnaire to the pollster. Suggest a method the pollster could use to choose a random sample of people to send the questionnaires to? Why might this type of survey yield a sample that would produce biased inferences, even if the sample is chosen randomly? Suppose that random sample of size 200 is selected from a population that is exponentially distributed. The resulting sampling distribution of the mean would be distributed Normal Uniform Exponential Binomial None of the above

Explanation / Answer

In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given statistic based on a random sample. Sampling distributions are important in statistics because they provide a major simplification en route to statistical inference.

A pollster can opt for a stratified sampling by dividing the population into strata and then randomly selecting few of those and send them questionaire.

The problem with this kind of sampling is :

The resulting sample from an exponential distribution will also be exponentially distributed.

Hope this helps.

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