About 25 minutes · one standard
Standard Focus
Start with a short independent check, repair the exact facets that need work, then complete a fresh readiness checkout.
Best when you know which standard you want to strengthen.
S-DS-1, S-DS-2, S-DS-3, S-PR-1, S-PR-2, S-PR-3, S-PR-4, S-PR-5, S-PR-6, S-INF-1, S-INF-2, S-INF-3, S-REG-1, S-REG-2, S-REG-3 are available now. Additional standards will appear here as their Focus journeys are released.
I can classify any variable, identify study components (population, sample, parameter, statistic) with proper notation, name the sampling method used, and explain how its design could bias results.
Start S-DS-1 Focus →I can pick the right graph for a variable, build and read frequency tables, and spot a misleading graph.
Start S-DS-2 Focus →I can compute the standard measures of center and spread, then choose and justify the right ones for a distribution.
Start S-DS-3 Focus →I can read a real-world situation and calculate probabilities of simple and compound events, including when two events overlap or are mutually exclusive.
Start S-PR-1 Focus →I can read a real-world situation, calculate conditional and joint probabilities, and determine whether two events are mutually exclusive, independent, both, or neither.
Start S-PR-2 Focus →I can read a real-world situation, count its possible outcomes — deciding when order matters — and use the count to find a probability.
Start S-PR-3 Focus →I can build a valid probability distribution for a random variable, compute and interpret its mean, variance, and standard deviation, and find cumulative probabilities.
Start S-PR-4 Focus →I can check the BINS conditions and compute binomial probabilities (including "at least"/"at most").
Start S-PR-5 Focus →I can use the normal distribution model to find probabilities from values (standardizing to z first) and find values from probabilities (inverse normal).
Start S-PR-6 Focus →I can describe the sampling distribution of \(\bar{x}\) and calculate probabilities for sample means, and explain how the Central Limit Theorem applies.
Start S-INF-1 Focus →I can construct and interpret a confidence interval for a population mean (\(z\) vs. \(t\)) or proportion (\(z\)), check the right conditions, interpret the confidence level, and solve for required sample sizes.
Start S-INF-2 Focus →I can run a five-step hypothesis test for a population mean (\(z\) vs. \(t\)) or proportion (\(p_0\) in the standard error), define a \(p\)-value, interpret a non-significant result, and explain Type I and Type II errors.
Start S-INF-3 Focus →I can describe scatter plots, calculate and interpret correlation (\(r\)) and the coefficient of determination (\(r^2\)), check Pearson conditions, and explain why correlation is not causation.
Start S-REG-1 Focus →I can find the least-squares regression line, interpret its slope and intercept, use it to make predictions (distinguishing interpolation from extrapolation), and identify outliers and high-leverage points.
Start S-REG-2 Focus →I can run a chi-square test of independence and interpret it as association (not causation).
Start S-REG-3 Focus →