Tests of Hypotheses for Two or More Populations

5-1 Inferences About the Difference b/w 2 Population Means for Independent Samples: σ1 and σ2 Known, p. 395
- define, and use in context, the following key terms: independent samples versus dependent samples; sampling distribution of the difference between 2 sample means, ${\bar{x}}_{1} - {\bar{x}}_{2}$
  - Independent vs dependent samples
- use the critical value approach to perform a hypothesis test about the difference b/2 2 population means, m1−m2, based on independent samples, whose population standard deviations, σ1 and σ2, are both known.
  - Hypothesis testing about mu1-mu2
  - Mean, standard deviation, and sampling distribution of ${\bar{x}}_{1} - {\bar{x}}_{2}$
- ~~Internal estimation of mu1-mu2~~
- omit the information about the p-value approach. You are responsible for only the critical value approach.
5-2 Inferences About the Difference b/w 2 Population Means for Independent Samples: σ1 and σ2 Unknown but Equal, p. 403
- use the critical value approach to perform a hypothesis test about the difference b/w 2 population means, m1−m2, based on independent samples, with population standard deviations, σ1 and σ2, unknown but equal.
  - Hypothesis testing about $μ 1 - μ 2$
- ~~Interval estimation of mu1-mu2~~
- In Section 10.2.2, omit the information about the p-value approach. You are responsible for only the critical value approach.
5-3 Inferences About the Difference b/w 2 Population Means for Paired Samples, p. 416
- define, and use in context, the term "paired samples" (or "matched samples").
- use the critical value approach to perform hypothesis tests about the difference between 2 population means based on paired samples.
  - Hypothesis testing about mu_d
  - Inferences about the mean of paired samples (dependent samples)
- ~~Inferences about the difference b/w 2 population means for independent samples: sigma1 and sigma2 unknown and unequal~~
- Omit Section 10.3 entirely.
- ~~Interval estimation of mu_d~~
- In Section 10.4.2, omit the information about the p-value approach. You are responsible for only the critical value approach.
5-4 Inferences About the Difference b/w 2 Population Proportions for Large and Independent Samples, p. 425
- define, and use in context, the concept of "sampling distribution of a difference of 2 population proportions, p1 and p2 ."
  - Mean, standard deviation, and sampling distribution of ${\hat{p}}_{1} - {\hat{p}}_{2}$
- use the critical value approach to perform hypothesis tests about the difference b/w 2 population proportions based on large and independent samples.
  - Hypothesis testing about p1-p2
- use the p-value approach to perform hypothesis tests about the difference b/w 2 population proportions based on large and independent samples.
  - In Section 10.5.3, you are responsible for both the critical value approach and the p-value approach.
- ~~Interval estimation of p1-p2~~
5-5 Goodness-of-Fit Tests, p. 448
- define, and use in context, the following key terms: chi-square distribution; multinomial experiment; observed frequency; expected frequency
  - The chi-square distribution
  - a multinomial experiment
  - observed and expected frequencies
- use the critical value approach to perform hypothesis tests about goodness of fit.
  - A goodness-of-fit test
  - degrees of freedom for a goodness-of-fit test
  - test statistic for a goodness-of-fit test
5-6 Tests for Independence and Homogeneity, p. 459
- define the term "contingency table", and use contingency tables to solve problems.
  - A contingency table
- use the critical value approach to perform hypothesis tests about the independence of 2 attributes of a population.
  - A test of independence
  - Degrees of freedom for a test of independence
  - test statistic for a test of independence
  - Expected frequencies for a test of independence
- use the critical value approach to perform hypothesis tests about the homogeneity of 2 or more populations.
  - A test of homogeneity
5-7 Inferences About the Population Variance, p. 468
- use the critical value approach to perform a hypothesis test for the population variance, σ2, or for the population standard deviation, σ.
  - Hypothesis tests about the population variance
    - In Section 11.4.2, use the critical value approach.
- ~~Estimation of the population variance~~
- Omit Section 11.4.1.
5-8 Analysis of Variance, p. 483
- define, and use in context, the following key terms: F distribution; one-way analysis of variance (ANOVA)
  - The F distribution
  - One-way analysis of variance
  - test statistic F for a one-way anova test
- use the critical value approach to perform a one-way ANOVA test.
  - One-way ANOVA test
- Calculating the value of the test statistic
- between- and within-samples sums of squares
- calculating the values of MSB and MSW