I can use the mean and standard deviation of a normally distributed data set to estimate proportions.
8
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.
9
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.
10
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.
11
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.
12
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.
13
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.
14
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.
15
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.