Week 4 Practice Problems
11. List the five steps of hypothesis testing, and explain the procedure and logic of each
Step 1: During this step of hypothesis testing, the query is stated again as a research theory and a null theory regarding the populations. The null and research hypothesizes are the opposites of each other. This step is necessary because it explains the theory and recognizes the populations, which will be worked throughout the study.
Step 2: During this second step, the characteristics of the comparison distribution is determined. In instances that the null theory is correct, the comparison distribution is compared to the score depending on the sample’s outcomes.
Step 3: During this third step, the cutoff sample
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A researcher predicts that listening to music while solving math problems will make a particular brain area more active. To test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percentage signal change of 58. From many previous studies with this same math problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with a mean of 35 and a standard deviation of 10. (a) Using the .01 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cutoffs), and the score of the sample on this distribution. (b) Then explain your answer to someone who has never had a course in statistics (but who is