one-tailed or two-tailed test: State the Hypotheses; df3D ta or t value for the critical region = sM = t D Decision:

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**One-Tailed or Two-Tailed Test:**

**State the Hypotheses:**

- **df =**  
  (Degrees of freedom for the test.)

- **tα or t-value for the Critical Region =**  
  (The t-value that marks the critical region for the hypothesis test.)

- **sM =**  
  (The standard error of the mean.)

- **t =**  
  (The calculated t-statistic.)

**Decision:**  
(Conclude whether to reject or fail to reject the null hypothesis based on the t-statistic and critical region.)
Transcribed Image Text:**One-Tailed or Two-Tailed Test:** **State the Hypotheses:** - **df =** (Degrees of freedom for the test.) - **tα or t-value for the Critical Region =** (The t-value that marks the critical region for the hypothesis test.) - **sM =** (The standard error of the mean.) - **t =** (The calculated t-statistic.) **Decision:** (Conclude whether to reject or fail to reject the null hypothesis based on the t-statistic and critical region.)
**Memory Booster Effectiveness Study**

A nutrition store in the mall is selling "Memory Booster," a concoction of herbs and minerals intended to improve memory performance. To test the effectiveness of this herbal mix, a researcher conducts a study with a sample of n = 16 people. Participants are asked to take the suggested dosage daily for four weeks. At the end of this period, each individual takes a standardized memory test.

The research findings are as follows:

- The sample produced a mean score (M) of 26.
- The sample standard deviation (s) is 8, with a sum of squares (SS) of 960.

In the general population, the standardized test is known to have a mean (μ) of 20. The question posed by the researcher is whether the sample data indicates that the "Memory Booster" has a significant effect. The test is conducted with a significance level (α) of 0.05.
Transcribed Image Text:**Memory Booster Effectiveness Study** A nutrition store in the mall is selling "Memory Booster," a concoction of herbs and minerals intended to improve memory performance. To test the effectiveness of this herbal mix, a researcher conducts a study with a sample of n = 16 people. Participants are asked to take the suggested dosage daily for four weeks. At the end of this period, each individual takes a standardized memory test. The research findings are as follows: - The sample produced a mean score (M) of 26. - The sample standard deviation (s) is 8, with a sum of squares (SS) of 960. In the general population, the standardized test is known to have a mean (μ) of 20. The question posed by the researcher is whether the sample data indicates that the "Memory Booster" has a significant effect. The test is conducted with a significance level (α) of 0.05.
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