Jose is the manager of a children’s baseball league. Jose wants to know if the four new teams (teams A, B, C, and D; the sample) that were added this year differ from the whole population of children’s baseball teams across the nation in terms of the number of games they won last season. For the whole league (the population), the population mean = 10.13 games won, and the σ (population SD) = 5.12.
Below are the number of games won for the four new teams this year
| Team | Number of games won |
| A | 1 |
| B | 2 |
| C | 4 |
| D | 2 |
- State the null hypothesis
A. H0: The sample drawn from the population reflects the population, or M ≠ µ
B. H0: The sample drawn from the population reflects the population, or M = µ
- State the alternative hypothesis
A. H1: The sample drawn from the population does not reflect the population, or M ≠ µ
B. H1: The sample drawn from the population reflects the population, or M = µ
- Indicate the level of risk used in psychology
A. The level of risk is .01
B. The level of risk is .05
C. The level of risk is .1
D. The level of risk is .5
- Determine the best statistical test to use
ANOVA
A. Z score test
B. Correlational test
C. One-sample Z test
D.
E. T-test
- First, you’ll have to calculate the SEM. Use the values provided and the formula in the book/lecture to calculate the SEM. Put your value below. Round your response out to two decimal places.
- Now, Compute the test statistic (Use the formulas in the book / lecture to calculate the correct statistic).
- The value needed to reject the null hypothesis (the critical value) is ___________.
A. 1.96
B. 0.05
C. 2.10
D. 3.25
- Does the obtained value exceed the critical value (that is, is the obtained value larger than the critical value)?
- Based on your answer to the previous question, the decision is to ____________
A. Fail to reject the null hypothesis
B. Reject the null hypothesis
- Write up your results as you would see it in a results section of an empirical research paper:
- Jose is also the coach for 4 teams in the league (Teams E, F, G, and H). He wants to know if his four teams are significantly different from the whole population. Does this group significantly differ from the population? What is the z value for this new sample? Round your answer out to two decimal places.
Number of Games Won by Team
| Teams | Number of Games Won |
| E | 10 |
| F | 15 |
| G | 12 |
| H | 3 |
- Do Joes’s 4 teams that he is the coach for significantly differ from the whole population?
A. Yes
B. There is not enough information to answer this question
C. No