Can I get help with 20 please ### Hypothesis Testing Example**Problem:** 20) Perform a hypothesis test for the following scenario, making sure to include and label all five steps. Test the claim that the samples come from populations with the same mean. Use a 0.05 significance level.**Data Provided:**| Source | DF | SS | MS | F | p ||--------|----|------|-----|------|------|| Factor | 3 | 13.5 | 4.5 | 5.17 | 0.011|| Error | 16 | 13.925| 0.87| | || Total | 19 | 27.425| | | |**Explanation of Terms and table:**- **Source:** Refers to the factors (treatments) and error in the analysis.- **DF (Degrees of Freedom):** The number of values in the final calculation of a statistic that are free to vary.- **SS (Sum of Squares):** The sum of the squared deviations from the mean.- **MS (Mean Square):** The sum of squares divided by their respective degrees of freedom.- **F:** The F-statistic calculated for the hypothesis test.- **p:** The p-value associated with the F-statistic.**Steps for Hypothesis Testing:**1. **State the Hypotheses:** - **Null Hypothesis (H₀):** The population means are equal (μ₁ = μ₂ = μ₃ = μ₄). - **Alternative Hypothesis (H₁):** At least one population mean is different from the others.2. **Set the Significance Level:** - The significance level (α) is 0.05.3. **Calculate the Test Statistic:** - The given F-statistic is 5.17.4. **Determine the p-value:** - The p-value given is 0.011.5. **Make a Decision:** - If the p-value (0.011) is less than the significance level (0.05), we reject the null hypothesis H₀.**Conclusion:**Since the p-value (0.011) is less than the significance level (0.05), we reject the null hypothesis. This indicates that there is sufficient evidence to conclude that at least one of

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20) Do a hypothesis for the following, make sure to include and label all five steps: Test the claim the samples come from populations with the same mean. Use a .05 significance level. Source DF SS MS 4.5 Factor 13.5 5.17 0.011 Error 16 13.925 27.425 0.87 Total 19

20) Do a hypothesis for the following, make sure to include and label all five steps: Test the claim the samples come from populations with the same mean. Use a .05 significance level. Source DF SS MS 4.5 Factor 13.5 5.17 0.011 Error 16 13.925 27.425 0.87 Total 19

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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Can I get help with 20 please

### Hypothesis Testing Example

**Problem:**

20) Perform a hypothesis test for the following scenario, making sure to include and label all five steps. Test the claim that the samples come from populations with the same mean. Use a 0.05 significance level.

**Data Provided:**

| Source | DF | SS | MS | F | p |
|--------|----|------|-----|------|------|
| Factor | 3 | 13.5 | 4.5 | 5.17 | 0.011|
| Error | 16 | 13.925| 0.87| | |
| Total | 19 | 27.425| | | |

**Explanation of Terms and table:**

- **Source:** Refers to the factors (treatments) and error in the analysis.
- **DF (Degrees of Freedom):** The number of values in the final calculation of a statistic that are free to vary.
- **SS (Sum of Squares):** The sum of the squared deviations from the mean.
- **MS (Mean Square):** The sum of squares divided by their respective degrees of freedom.
- **F:** The F-statistic calculated for the hypothesis test.
- **p:** The p-value associated with the F-statistic.

**Steps for Hypothesis Testing:**

1. **State the Hypotheses:**
- **Null Hypothesis (H₀):** The population means are equal (μ₁ = μ₂ = μ₃ = μ₄).
- **Alternative Hypothesis (H₁):** At least one population mean is different from the others.

2. **Set the Significance Level:**
- The significance level (α) is 0.05.

3. **Calculate the Test Statistic:**
- The given F-statistic is 5.17.

4. **Determine the p-value:**
- The p-value given is 0.011.

5. **Make a Decision:**
- If the p-value (0.011) is less than the significance level (0.05), we reject the null hypothesis H₀.

**Conclusion:**
Since the p-value (0.011) is less than the significance level (0.05), we reject the null hypothesis. This indicates that there is sufficient evidence to conclude that at least one of

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