PLEASE HELP! For each of the scenarios below, determine if the sample is a simpl
ID: 3341066 • Letter: P
Question
PLEASE HELP!
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 a college 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 o of the assembly line.
(c) You are interested in the average IQ of 6th graders in Daze County public schools. You get your sample
by using computer software to randomly select 100 6th grade student ID numbers from the Daze 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) You are interested in the average height of all freshmen on a college campus. You draw a
simple random sample of freshmen in your statistics class.
Simple random sample would work here, as we are interested in the hieght of freshman , random sampling of freshman would not cause any bias
(b) You are interested in the range of the glaze thicknesses on mugs created in a factory. You sample every
5th mug o of the assembly line.
This is a case of systematic sampling , where only every 5th mug is selected . This would have a bias such that only every 5th mug is selected and doesnt represent all the mugs created in the factory , which are manufactured at different time instances such as 4th mug , 6th mug etc
(c) You are interested in the average IQ of 6th graders in Daze County public schools. You get your sample
by using computer software to randomly select 100 6th grade student ID numbers from the Daze County
public school database.
This is fine , random sampling would work here without any bias as 100 students are selected randomly from all the county scools
(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.
As we are interested in the patients who visited the office last month , hence our sample shluld include only those patients who visted the office last month , however , the survey was given to all the patients , hence there would a bias in the sample in this case
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