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Z-Test npt Data Statsu #50 16:50 475 X48.25 in 40 * <#o > Po Calculate Draw ||z=-2.33009933 p=0.0198009 x=48.25 n=40

Z-Test npt Data Statsu #50 16:50 475 X48.25 in 40 * <#o > Po Calculate Draw ||z=-2.33009933 p=0.0198009 x=48.25 n=40

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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.
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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