2. A sample of n=16 individuals is selected from a population with a mean (u)= 80 and standard deviation (a) =8. A treatment is administered to the sample, and after the treatment, the sample mean (M)= 86. The researcher wants to know what effect, if any, the treatment had. Does the sample provide sufficient evidence to conclude that the treatment has a significant effect? Test using alpha (a)= .05.

MATLAB: An Introduction with Applications
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**Statistical Testing of Treatment Effect**

**Sample Details:**
- Sample Size (n): 16 individuals
- Population Mean (μ): 80
- Population Standard Deviation (σ): 8

**Procedure:**
A treatment is administered to the sample, after which:

- Sample Mean (M): 86

**Objective:**
The researcher aims to determine the significance of the treatment effect.

**Statistical Test:**
- Significance Level (alpha, α): 0.05

**Question:**
Does the sample provide sufficient evidence to conclude that the treatment has a significant effect? Conduct the test using the specified significance level (α = 0.05) to evaluate the treatment's impact.
Transcribed Image Text:**Statistical Testing of Treatment Effect** **Sample Details:** - Sample Size (n): 16 individuals - Population Mean (μ): 80 - Population Standard Deviation (σ): 8 **Procedure:** A treatment is administered to the sample, after which: - Sample Mean (M): 86 **Objective:** The researcher aims to determine the significance of the treatment effect. **Statistical Test:** - Significance Level (alpha, α): 0.05 **Question:** Does the sample provide sufficient evidence to conclude that the treatment has a significant effect? Conduct the test using the specified significance level (α = 0.05) to evaluate the treatment's impact.
Certainly! Here is a transcription of the text as it would appear on an educational website:

---

**Statistical Analysis Guide**

d. \( \sigma_{\bar{x}} = \)

e. **Test Statistic:**
   - \( z\text{-score} = \)

f. **Decision:**

---

This section likely details steps in a hypothesis testing process using the z-score method. 

- **\( \sigma_{\bar{x}} \)** represents the standard error of the mean.
- **Test Statistic (z-score):** Used to determine how many standard deviations an element is from the mean.
- **Decision:** Suggests the step for concluding the hypothesis test, such as whether to accept or reject the null hypothesis.

No graphs or diagrams were included to explain.
Transcribed Image Text:Certainly! Here is a transcription of the text as it would appear on an educational website: --- **Statistical Analysis Guide** d. \( \sigma_{\bar{x}} = \) e. **Test Statistic:** - \( z\text{-score} = \) f. **Decision:** --- This section likely details steps in a hypothesis testing process using the z-score method. - **\( \sigma_{\bar{x}} \)** represents the standard error of the mean. - **Test Statistic (z-score):** Used to determine how many standard deviations an element is from the mean. - **Decision:** Suggests the step for concluding the hypothesis test, such as whether to accept or reject the null hypothesis. No graphs or diagrams were included to explain.
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