I can conduct an experiment and analyze the results.

I can justify when the experiment provides evidence of an effect of a treatment.

I know why it is important to question the validity of the claims of an experiment.

I can find the difference between two treatment means and use a randomization distribution to determine whether or not the result occurred by chance.

I understand why randomization is important in the design of a study.

I can calculate the difference in means between two groups.

I can justify whether there is evidence for a statistical claim by using proportions in the normal distribution.

I understand that the difference in means can be modeled by a distribution that is approximately normal in shape.

I can use a randomization distribution to determine whether there is evidence that a treatment was the cause of the results of an experiment.

I understand why it is important to question the results of an experiment.

I can evaluate strengths and weaknesses of a study, using evidence.

I can recognize the difference between a survey, observational study, or experimental study.

I understand why randomization is important in the design of a study.

I can describe the different purposes for each type of study design (survey, observational study, or experimental study).

I can recognize the difference between a survey, observational study, or experimental study.

I understand that my choice of the design for a study will impact what questions I can answer.

I recognize that the way I choose a sample matters, and that random samples tend to be more representative of the population.

I can describe a distribution using the characteristics of its shape, center, and spread.

I can use the standard deviation to describe the variability in a distribution.

I can calculate a relative frequency and create a relative frequency histogram.

I know that a normal curve is defined using the mean and standard deviation.

I can calculate a proportion of a set of data that matches a shaded area in a histogram.

I recognize the patterns of proportions that occur in distributions that are approximately normal in shape.

I can use the mean and standard deviation of a normally distributed data set to estimate intervals when given a proportion.

I can use the mean and standard deviation of a normally distributed data set to estimate proportions.

I can justify a mathematical claim using evidence.

I know how to use mathematical evidence to decide if outcomes are consistent with a model.

I understand why it's important to be skeptical of data that seems unfair.

I can estimate the margin of error of an estimate of a population characteristic, using a sample statistic together with the standard deviation of the sampling distribution.

I understand that sample means and proportions can be representative of the overall population.

I understand that sample means and proportions vary.

I can estimate a margin of error using the standard deviation of a simulated sampling distribution.

I understand that sample size influences the size of the margin of error for a data set.

I can use sample means to estimate a population mean and an associated margin of error.

I understand that sample means that are normally distributed follow the same pattern as sample proportions.