Final answer:
One possible sampling method is stratified sampling, where the population is divided into different groups or strata based on certain characteristics. Randomly selecting a certain number of classes from each stratum would provide a representative sample for determining the mean number of students per statistics class in the state.
Step-by-step explanation:
A possible sampling method to determine the mean number of students per statistics class in your state is stratified sampling. Stratified sampling involves dividing the population into different groups or strata based on certain characteristics. In this case, you could divide the population into different statistics classes and then randomly select a certain number of classes from each stratum. This ensures representation from different classes and reduces the risk of bias in the sample.
For example, if there are 100 statistics classes in the state, you could randomly select 10 classes from each of the 10 strata (dividing the classes into 10 strata based on some characteristic such as class size or location). This would result in a sample of 100 classes.
This method allows you to collect data that is representative of the population and provides a more accurate estimate of the mean number of students per statistics class in the state.