Two-sample means test

1. Explain how a two-sample means test differs from a one-sample means test (in relation to the hypotheses, context of the confidence interval, etc.).

1. Given an example of a set of hypotheses (state the parameter of interest and blocking variables) that would require a two-sample proportion test.

1. Suppose that you have a random sample of couples. You are interested in seeing the typical difference of their heights. You take the heights of each couple and calculate `diff = male_height – female_height` and then find that the typical value of `diff` is 3 inches i.e. typically men are 3 inches taller than average. Does this require a two-sample means test? Explain why or why not.

1. Write a relationship you want to examine in the form of a research question (from you data). State the null and alternative hypotheses as sentences.

1. Perform an appropriate statistical analysis using the full four/five step method as outlined in class and described below.

a. Define the parameters being tested.
a. Translate the null and alternative hypotheses into \(H_{0}\) and \(H_{A}\) with symbols.
a. State and verify assumptions of the test. Even if these assumptions are potentially violated, for the purposes of this assignment, acknowledge this limitation and continue with the prescribed analysis.
a. Conduct the analysis using your software program of choice. Make a decision whether or not to reject the null hypothesis.
a. Write a conclusion in context of the problem.

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