Part 1: Explain in 1–2 paragraphs the four steps involved in hypothesis testing and how a statistical decision is made based on computing a test000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 statistic and transforming the sample mean into a z-score (probability score).

Part 2: Read the scenario below. Then, follow through each of the steps of hypothesis testing to answer the question presented at the end of the scenario:

All the students at a university took the GRE (Graduate Record Examination), a standardized test that attempts to measure graduate readiness. The GRE is scored on a 130–170 scale in each section and the verbal scores were compared. The scores were normally distributed with μ = 140 and σ = 15. A sample of students, n =100, then took a GRE course to improve their test scores. Following the course, the average score for this sample is M = 155. Is there evidence that the GRE course influenced the verbal test scores?

In 1–2 pages, state the following in order based on the research data given above:

The research question.

The null and alternative hypotheses.

The alpha level and the critical region.

Compute the test statistic using a z-score.

Determine the 95% confidence intervals.

Make a decision about the null.

Find the effect size using Cohen’s d and state why the effect size should be reported.

Also, include the power of the hypothesis test. Why might the power be used? What factors affect the power?