Bias and Variability Preview CT-STEM

Reflection

(Use the figure below for questions 1 and 2)

The figure shows approximate sampling distributions of 4 different statistics intended to estimate the same parameter.

Questions

Please answer the questions below.

Question 6.1

Which statistics are unbiased estimators? Justify your answer.

Question 6.2

Which statistic does the best job of estimating the parameter? Explain your answer.

Question 6.3

The Evanstonian is collecting responses for an opinion poll. The editor suggests that they increase their sample size. The statistical reason for increasing the sample size of the opinion poll is to reduce _____________________________.

bias of the estimates made from the data collected in the poll.
variability of the estimates made from the data collected in the poll.
effect of nonresponse on the poll.
variability of opinions in the sample.
variability of opinions in the population.

Notes

These notes will appear on every page in this lesson so feel free to put anything here you'd like to keep track of.