In: Math
Practice Problems (Chapters 7 and 8)
Chapter
7
1. Which would you
expect to be more...
Practice Problems (Chapters 7 and 8)
Chapter
7
1. Which would you
expect to be more variable: (a) the distribution of scores in a
population or (b) the distribution of sample means based on random
samples of 25 cases from this population. Explain.
- Given a normal distribution of scores that has a mean of 50 and
a standard deviation of 10, what is the probability of selecting a
score that is greater than 65? If a random sample of 10 scores were
selected from this population, what is the probability that the
mean score for this sample would be greater than 65?
- In a short paragraph, explain the logic of inferential
statistics (The Hinkle et al. text refers to this as the chain of
reasoning in inferential statistics).
- What is the central limit theorem and what role does it play in
inferential statistics?
Chapter
8
- Describe a study in which a one sample t-test is appropriate.
Be sure to state your research question, hypotheses, significance
level, critical value, etc.
- List the steps in the hypothesis testing sequence.
- In a short paragraph, explain Type I and Type II errors to an
audience that has no previous experience with statistics.
8. What is meant by
statistical significance? Why does your author suggest that it may
not always be adequate for purposes of research?
9. Provide an
example of the following: (a) A research problem appropriate for a
non-directional test using the one-sample z-statistic. (b) A
research problem appropriate for a directional test using the
one-sample t-statistic.
10. Consider the data in
problem 11 in the text (page 199). Enter these data into SPSS and
conduct a test of the null hypothesis.