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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**Title: Investigating Memory Performance Before and After a Meal** **Study Overview:** This study explores whether memory ability is better before a meal compared to after a meal. Ten individuals were assessed with memory tests both before and after eating. A higher test score indicates better memory performance. **Data:** | Condition | Scores | |-------------|----------------------| | Before a Meal | 79, 48, 63, 66, 59, 74, 61, 75, 71, 62 | | After a Meal | 72, 41, 61, 62, 64, 59, 49, 68, 56, 56 | **Objective:** To evaluate if there's a statistically significant difference in memory scores at a significance level of α = 0.01. **Statistical Analysis:** 1. **Hypotheses:** - **Null Hypothesis (H₀):** There is no difference in population mean memory scores before and after a meal. - **Alternative Hypothesis (H₁):** The population mean memory score before a meal is higher than after a meal. 2. **Statistical Test:** - Use a paired t-test to analyze the data. 3. **Calculations Needed:** - **Test Statistic (t):** [Enter your calculations here, precise to three decimal places.] - **P-value:** [Enter your calculations here, precise to four decimal places.] 4. **Conclusion:** - Determine the conclusion based on the calculated p-value and compare it with α = 0.01. - Conclude whether the results are statistically significant or not. 5. **Interpretation of the P-value:** - A low p-value (< 0.01) indicates significant evidence against the null hypothesis, suggesting the memory score before a meal is higher. - A high p-value (≥ 0.01) indicates insufficient evidence against the null hypothesis, suggesting no significant difference. 6. **Type I Error:** - A Type I error in this context means concluding there is a difference in memory scores when there isn’t any. 7. **Additional Points:** - Evaluate the impact of possible errors, such as a 1.62% chance of a Type I error or the practical implications of the findings. In the context of this study, interpreting the results accurately is crucial for understanding
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Transcribed Image Text:**Title: Investigating Memory Performance Before and After a Meal** **Study Overview:** This study explores whether memory ability is better before a meal compared to after a meal. Ten individuals were assessed with memory tests both before and after eating. A higher test score indicates better memory performance. **Data:** | Condition | Scores | |-------------|----------------------| | Before a Meal | 79, 48, 63, 66, 59, 74, 61, 75, 71, 62 | | After a Meal | 72, 41, 61, 62, 64, 59, 49, 68, 56, 56 | **Objective:** To evaluate if there's a statistically significant difference in memory scores at a significance level of α = 0.01. **Statistical Analysis:** 1. **Hypotheses:** - **Null Hypothesis (H₀):** There is no difference in population mean memory scores before and after a meal. - **Alternative Hypothesis (H₁):** The population mean memory score before a meal is higher than after a meal. 2. **Statistical Test:** - Use a paired t-test to analyze the data. 3. **Calculations Needed:** - **Test Statistic (t):** [Enter your calculations here, precise to three decimal places.] - **P-value:** [Enter your calculations here, precise to four decimal places.] 4. **Conclusion:** - Determine the conclusion based on the calculated p-value and compare it with α = 0.01. - Conclude whether the results are statistically significant or not. 5. **Interpretation of the P-value:** - A low p-value (< 0.01) indicates significant evidence against the null hypothesis, suggesting the memory score before a meal is higher. - A high p-value (≥ 0.01) indicates insufficient evidence against the null hypothesis, suggesting no significant difference. 6. **Type I Error:** - A Type I error in this context means concluding there is a difference in memory scores when there isn’t any. 7. **Additional Points:** - Evaluate the impact of possible errors, such as a 1.62% chance of a Type I error or the practical implications of the findings. In the context of this study, interpreting the results accurately is crucial for understanding
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