
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:The image contains information related to a Z-Test, which is a statistical method used to determine if there is a significant difference between sample data and a population. Here is the transcription and explanation of the elements present:
**Z-Test Input Data**
- **μ0**: 50
- **σ (sigma)**: 4.75
- **x̄ (x-bar)**: 48.25
- **n**: 40
The input data section provides the following:
- **μ0 (Mu zero)**: Hypothesized population mean
- **σ (sigma)**: Sample standard deviation
- **x̄ (x-bar)**: Sample mean
- **n**: Sample size
**Z-Test Results**
- **Z**: -2.33000933
- **p**: 0.0198009
- **x̄ (x-bar)**: 48.25
- **n**: 40
The results section presents:
- **Z**: The calculated Z-score, which measures how many standard deviations the sample mean is from the hypothesized population mean.
- **p**: The p-value, which helps determine the significance of the results. A lower p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis.
**Hypotheses Tested**
- The image suggests two possible tests:
- **H1: μ0 < μc**
- **H2: μ0 > μc**
This represents the alternative hypotheses indicating whether the population mean is less than or greater than the hypothesized mean, respectively.
**Button**
- **Calculate Draw**
There appears to be a button labeled "Calculate Draw," likely used to execute the test and visualize the results.
**Graphs/Diagrams**
There are no graphs or diagrams visible to describe. The focus is on the statistical data and results presented.

Transcribed Image Text:**Text Transcription:**
Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α = 0.01.
Choose the correct answer below.
- O A. Since the P-value is less than α, reject the null hypothesis.
- O B. Since the P-value is less than α, fail to reject the null hypothesis.
- O C. Since the P-value is greater than α, reject the null hypothesis.
- O D. Since the P-value is greater than α, fail to reject the null hypothesis.
**Explanation of Graphs/Diagrams:**
The image does not contain any graphs or diagrams that require detailed explanation.
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