Statistics Problem Set

Project description
• Complete problem 10 on page 154.
10. A psychologist assigns teenagers to listen to rap music or classical music, and then the psychologist studies the amount of aggression displayed by those teenagers in a simulated conflict situation. What are the Independent variable and the Dependent variable in this study?

• Complete problem 20 on page 156.
A researcher is studying whether the amount of aggression displayed in a simulated conflict situation differs in teens who listen to rap music and teens who listen to classical music.
a. a directional research hypothesis,
b. a nondirectional research hypothesis, and
c. the null hypothesis.

• Complete problem 2 on page 166.
Type 1: There really is not an effect (population truth), but you find one (your decision) in your study.
Type 2: There really is an effect (population truth), but you don’t find one (your decision) in your study.
2. It is a population fact that men and women differ in height. You draw a random sample of men and a random sample of women, measure their heights, and find that the average height of the men and women do not differ. Given that men’s and women’s heights really are different in their respective populations, what type of error occurred in your study—Type 1 or Type 2? Explain your answer.

• Complete problem 8 on page 167.
8. There is no significant difference between male and female infants in the age at which they first walk. A pediatrician reviews the age of walking for all infants in her practice and is surprised to find a significant difference between males and females in the age at which they first walked. Given that this result is contrary to actual population fact, what type of error did this study lead to—Type 1 or Type 2? Explain your answer.

• Complete problem 2 on page 171.
2. The mean IQ for a population is 100, and the standard deviation is 15. Girard’s IQ is 142.
a. State the null hypothesis.
b. State the research (alternative) hypothesis.

c. If Girard is just a random person from the population, what is the probability that his IQ would be so high?

d. You have not learned the standards for rejecting or retaining the null hypothesis. However, given the percentage of people with IQs as high or higher than Girard’s in this population, does it seem like Girard’s IQ is high enough to reject the null hypothesis? Justify your decision.

Reference:
Steinberg, Wendy J. Statistics Alive!, 2nd Edition. SAGE Publications, Inc, 07/2010. VitalBook file.
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