Inferential Statistics –
Applications of Normal Distribution, Sampling Distributions, and Confidence Intervals
- Describe the distribution of sample means.
Describe the distribution of sample proportions.
- Compute probabilities of sample proportions.
Construct confidence intervals for population means.
- Construct confidence intervals for population proportions.
Utilize hypothesis testing to formulate a decision about a claim.
- Perform hypothesis tests for population means.
- Perform hypothesis tests for population proportions.
Compute the probability of Type II errors.
- Compute the power of tests.
- Perform hypothesis tests about two means.
Analysis of Variance (ANOVA)
Perform tests of hypothesis to determine whether the variances of two populations are equal.
- Perform hypothesis tests using one-way ANOVA.
- Perform two-way ANOVA designs.
Interpret the summary output of ANOVA tables.
Inferential Methods in Regression
- Determine if a linear relationship exists between a dependent and independent variables.
- Formulate a hypothesis test to determine if an independent variable is useful for making decisions.
Verify that residuals are normally distributed.
- Construct confidence intervals for mean responses.
- Construct prediction intervals for individual responses.
- Perform chi square goodness of fit tests.
- Perform chi square tests for independence.
- Perform tests for homogeneity of population.
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