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Chapter 7 Inference for numerical data

Chapter 5 introduced a framework for statistical inference based on confidence intervals and hypothesis tests. Chapter 6 summarized inference procedures for categorical data (counts and proportions), using the normal distribution and the chi-square distribution. In this chapter, we focus on inference procedures for numerical data and we encounter a new distribution. In each case, the inference ideas remain the same:

  1. Determine which point estimate or test statistic is useful.

  2. Identify an appropriate distribution for the point estimate or test statistic.

  3. Apply the ideas from Chapter 5 using the distribution from step 2.

Each section in Chapter 7 explores a new situation: a single mean Section 7.1, a mean of differences Section 7.2; and a difference of means Section 7.3.