# Discussion Questions

**Question description**

The following are discussion questions . They should only be 250 words each for their response.

**1. **For this discussion, identify the appropriate application of
standardized scores to reflect on their benefits and to interpret how test
scores and measures are commonly presented.

Review Chapter 3 of your course text, which introduces probability and the standard normal distribution. Examine the assumptions and limitations presented in these topics and then consider and discuss the following questions:

- When comparing data from different distributions, what is the benefit of transforming data from these distributions to conform to the standard distribution?
- What role do
*z*-scores play in this transformation of data from multiple distributions to the standard normal distribution? - What is the relationship
between
*z*-scores and percentages? - In your opinion, does one do a better job of representing the proportion of the area under the standard curve? Give an example that illustrates your answer.

In this discussion, you will evaluate a research question and determine how that question might best be analyzed. To do this, you will need to identify the appropriate application of course specified statistical tests, examine assumptions and limitations of course specified statistical tests, and communicate in writing critiques of statistical tests.

A researcher wishes to study the effect of a new drug on blood pressure. Consider and discuss the following questions as you respond:

- Would you recommend using a
*z*-test, a*t*-test, or an ANOVA for the analysis? Explain your answer. - What would your choice of test depend on? For the test you select, explain your design and your comparison groups.
- Would the hypothesis be directional or non-directional?
- Would the test be one-tailed or two-tailed?
- What would be the null and what would be the alternative hypothesis?

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