Is memory ability before a meal better than after a meal? Ten people were given memory tests before their meal and then again after their meal. The data is shown below. A higher score indicates a better memory ability. Ho: Select an answer H₁: Select an answer Before a Meal b. The test statistic c. The p-value= Score on the Memory Test 79 48 73 66 59 74 52 66 71 62 Assume a Normal distribution. What can be concluded at the the x = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: After a Meal 72 41 71 62 61 79 42 58 70 56 Select an answer Select an answer Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)
Is memory ability before a meal better than after a meal? Ten people were given memory tests before their meal and then again after their meal. The data is shown below. A higher score indicates a better memory ability. Ho: Select an answer H₁: Select an answer Before a Meal b. The test statistic c. The p-value= Score on the Memory Test 79 48 73 66 59 74 52 66 71 62 Assume a Normal distribution. What can be concluded at the the x = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: After a Meal 72 41 71 62 61 79 42 58 70 56 Select an answer Select an answer Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbed7ab37-3726-4b83-a741-6ed60a3ee8a9%2Fc759db8b-8253-407c-b552-e8795a715ec0%2F3e00qqg_processed.jpeg&w=3840&q=75)
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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