13. You carry out a study to test the claim that if the Warriors basketball team meditates daily, it will average more points per game across the year than the league average of 35 points and a standard deviation of 4 points. a. Write the null hypothesis and the alternative hypothesis. b. Decision rule: Assume that alpha = .05. Report the critical value(s) and sketch the comparison distribution with the region(s) of rejection indicated in your sketch. PLEASE NOTE: You do not need to do any additional steps beyond this.
13. You carry out a study to test the claim that if the Warriors basketball team meditates daily, it will average more points per game across the year than the league average of 35 points and a standard deviation of 4 points. a. Write the null hypothesis and the alternative hypothesis. b. Decision rule: Assume that alpha = .05. Report the critical value(s) and sketch the comparison distribution with the region(s) of rejection indicated in your sketch. PLEASE NOTE: You do not need to do any additional steps beyond this.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Transcription and Explanation:**
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**Study on Meditation and Basketball Performance**
**13. Research Inquiry**
You carry out a study to test the claim that if the Warriors basketball team meditates daily, it will average more points per game across the year than the league average of 35 points with a standard deviation of 4 points.
**a. Hypotheses Formulation**
- Write the **null hypothesis** and the **alternative hypothesis**.
**b. Decision Rule**
- Assume that alpha = 0.05. Report the **critical value(s)** and sketch the **comparison distribution** with the **region(s) of rejection** indicated in your sketch.
**Note:** You do not need to perform any additional steps beyond this.
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**Explanation:**
- **Null Hypothesis (H0):** The mean points per game for the Warriors basketball team, if they meditate daily, is equal to the league average, which is 35 points.
- **Alternative Hypothesis (H1):** The mean points per game for the Warriors basketball team, if they meditate daily, is greater than the league average of 35 points.
- **Critical Value(s):** These will depend on whether the test is one-tailed or two-tailed, and the specific alpha level (0.05). With these, you'd typically use a z-table or t-table to find the cut-off point beyond which you would reject the null hypothesis.
- **Sketch of Comparison Distribution:** This would be a normal distribution graph with the mean at 35 points. The region of rejection, determined by the critical value(s), would be shaded on the right tail of the distribution (indicating a one-tailed test).
This study investigates whether meditation has a statistically significant effect on the performance of the Warriors basketball team compared to the league average.
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