ID | Standard | StudyPug Topic |
|---|---|---|
TX.S.2.A | Distinguish between mathematical models and statistical models |
TX.S.2.B | Construct a statistical model to describe variability around the structure of a mathematical model for a given situation |
TX.S.2.C | Distinguish among different sources of variability, including measurement, natural, induced, and sampling variability |
TX.S.2.D | Describe and model variability using population and sampling distributions |
TX.S.3.B | Represent and summarize data and justify the representation |
TX.S.3.C | Analyze the distribution characteristics of quantitative data, including determining the possible existence and impact of outliers |
TX.S.3.E | Compare and contrast meaningful information derived from summary statistics given a data set |
TX.S.3.F | Analyze categorical data, including determining marginal and conditional distributions, using two-way tables |
TX.S.4.B | Describe the relationship between theoretical and empirical probabilities using the Law of Large Numbers |
TX.S.4.C | Construct a distribution based on a technology-generated simulation or collected samples for a discrete random variable |
TX.S.4.D | Compare statistical measures such as sample mean and standard deviation from a technology-simulated sampling distribution to the theoretical sampling distribution |
TX.S.5.A | Explain how a sample statistic and a confidence level are used in the construction of a confidence interval |
TX.S.5.B | Explain how changes in the sample size, confidence level, and standard deviation affect the margin of error of a confidence interval |
TX.S.5.C | Calculate a confidence interval for the mean of a normally distributed population with a known standard deviation |
TX.S.5.E | Interpret confidence intervals for a population parameter, including confidence intervals from media or statistical reports |
TX.S.5.F | Explain how a sample statistic provides evidence against a claim about a population parameter when using a hypothesis test |
TX.S.5.H | Explain the meaning of the p-value in relation to the significance level in providing evidence to reject or fail to reject the null hypothesis in the context of the situation |
TX.S.5.I | Interpret the results of a hypothesis test using technology-generated results such as large sample tests for proportion, mean, difference between two proportions, and difference between two independent means |
TX.S.5.J | Describe the potential impact of Type I and Type II Errors |
TX.S.6.A | Identify the goal of a statistical study and the type of study needed |
TX.S.6.D | Analyze how potential bias and random errors can affect reliability |
TX.S.6.E | Determine variables to be used in a statistical study |
TX.S.6.F | Create a display of data using graphical and numerical techniques to describe the distribution, association, or trends |