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.
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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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
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.

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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