Collect Data

Students will distinguish between a population distribution, a sample data distribution, and a sampling distribution

Students will identify the three types of distributions

Recognize a population distribution has fixed values of its parameters that are usually unknown.

Recognize a sample data distribution is taken from a population distribution and the data distribution is what is seen in practice hoping it approximates the population distribution.

Recognize a sampling distribution is the distribution of a sample statistic (such as a sample mean or a sample proportion) obtained from repeated samples. The sampling distribution provides the key for determining how close to expect a sample statistic approximates the population parameter.

Students will create sample data distributions and a sampling distribution.

Create a sample data distribution by taking

Create a sampling distribution of a statistic by taking repeated samples from a population (either hands-on or by simulation with technology).

Students will understand that randomness should be incorporated into a sampling or experimental procedure. Students will be able to implement a reasonable random method for selecting a sample or for assigning treatments in an experiment

Implement a simple random sample.

Randomly assign treatments to experimental subjects or objects.

Students will distinguish between the three types of study designs for collecting data (sample survey, experiment, and observational study) and will know the scope of the interpretation for each design type. Students will be able to distinguish between the three types of study designs for collecting data (sample survey, experiment, and observational study) and know the scope of the interpretation for each design type.

Determine the type of study design appropriate for answering a statistical question.

Determine the appropriate scope of inference for the study design used

Students will distinguish between the role of randomness and the role of sample size with respect to using a statistic from a sample to estimate a population parameter. Students will be able to distinguish the roles of randomization and sample size with designing studies

Recognize that randomization reduces bias where bias occurs when certain outcomes are systematically more likely to appear.

Recognize that random selection from a population plays a different role than random assignment in an experiment.

Recognize that sample size impacts the precision with which estimates of the population parameters can be made (larger the sample size the more precision).