4. For each of the scenarios below, determine if the sample is a simple random s

Question

4. For each of the scenarios below, determine if the sample is a simple random sample from the population of interest, or if the sample has some form of bias. If there is a bias, describe the nature of the bias in a sentence or two. (a) You are interested in the average height of all freshmen on the UW-Madison campus. You draw a simple random sample of freshmen in your statistics class. (b) You are interested in the range of the glaze thicknesses on mugs created in a factory. You sample every 5th mug off of the assembly line. (c) You are interested in the average IQ of 6th graders in Dane County public schools. You get your sample by using computer software to randomly select 100 6th grade student ID numbers from the Dane County public school database. d) You work for a doctor's office and you are interested in estimating the proportion of patients that visited the office in the last month that feel they received satisfactory care. You randomly select names from the list of patients who have been to the office, and email them a survey. About 25% of the surveys are returned

Explanation / Answer

a) The sample has a bias since if we want to find the avg height of all freshman in the campus then we should sample from every class not just one class, that way it will be a complete sample without any bias.

b) This is a srs from the population of interest since if we pick up every 5th mug, there will be no bias.

c) This ua a SRS from the population since the computer is randomly selecting 100 people from the database.

d) This has a bias since not everyone has access to Internet or has an email id, instead some other ways should have been figured out to get more response like phone calls or directly asking.

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