MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
expand button
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.
**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.
expand button
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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