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KUD Organizer
Course: Statistics
Unit: 3 Inferential Statistics
Approximate Days:
STANDARDS:
2.4.HS.B.1 Summarize, represent, and interpret data on a single count or measurement variable.
2.4.HS.B.2 Summarize, represent, and interpret data on two categorical and quantitative variables.
2.4.HS.B.3 Analyze linear models to make interpretations based on the data.
2.4.HS.B.4 Recognize and evaluate random processes underlying statistical experiments.
2.4.HS.B.5 Make inferences and justify conclusions based on sample surveys, experiments, and observational studies.
2.6.11.C The relationship between correlation and the regression equation of best fit and their relationship to data.
2.6.11.C Determine the regression equation of best fit (e.g., linear, quadratic exponential).
2.6.11.D Make predictions using interpolation, extrapolation, regression and estimation using technology to verify them.
2.7.8.B Present the results of an experiment using visual representations (e.g., tables, charts, graphs).
2.7.8.C Analyze predictions (e.g., election polls).
2.7.8.D Compare and contrast results from observations and mathematical models.
2.7.8.E Make valid inferences, predictions and arguments based on probability
UNDERSTAND:
Test hypotheses about the population mean, standard deviation, and proportion for one or two populations.
Which statistics to compare, which plots to use, and what the results of a comparison might mean, depend on the question to be
investigated and the real-life actions to be taken.
Causation implies correlation yet correlation does not imply causation.
KNOW:
DO:
Write the null and alternative hypothesis.
Determine the regression equation of best fit (e.g., linear, quadratic exponential).
Test statistic and p-value for various
hypothesis testing.
Make predictions using interpolation, extrapolation, regression and estimation using
technology to verify them.
Make conclusions about a hypothesis test.
Present the results of an experiment using visual representations (e.g., tables, charts,
graphs).
The relationship between correlation and
the regression equation of best fit and their
relationship to data.
Analyze predictions (e.g., election polls).
Compare and contrast results from observations and mathematical models.
Make valid inferences, predictions and arguments based on probability.
KEY VOCABULARY:
alpha (α), alternative hypothesis, assumption, beta (β), biased statistics, calculated value, conclusions, confidence coefficient,
confidence interval, confidence interval procedure, critical region, critical value, decision rule, estimation, estimation question,
hypothesis, hypothesis test (classical procedure), hypothesis test (p-value), hypothesis-testing question, interval estimate, level of
confidence, level of significance, lower confidence limit, maximum error of estimate, noncritical region, null hypothesis, parameter,
point estimate for a parameter, p-value, sample size, sample statistic, standard error of mean, statistical hypothesis test, test
criteria, test statistic, type A correct decision, type B correct decision, type I error, type II error, unbiased statistic, upper confidence
limit, z(α), assumption, binomial experiment, calculated value, chi-square, conclusion, confidence interval, critical region, critical
value, decision, degrees of freedom, hypothesis test, inference, level of confidence, level of significance, maximum error of estimate,
observed binomial probability, p’, p-value, parameter, population proportion, proportion, random variable, rule of thumb, sample
size, sample statistic, σ known, σ unknown, standard error, standard normal (z), Student’s t-statistic, test statistic, unbiased
estimate, assumptions, binomial experiment, binomial p, confidence interval, dependent means, dependent samples, F-distribution,
F-statistic, hypothesis test, independent means, independent samples, mean difference, mean of the paired difference, paired
difference, percentage, pooled observed probability, probability, proportion, p-value, source (of data), standard error, t-distribution,
test statistic, t-statistic, unbiased sample statistic, z-statistic