Is memory ability before a meal the same as 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. Score on the Memory Test Before a Meal 62 80 86 76 76 58 70 51 73 75 After 60 80 74 76 75 60 63 44 71 76 a Meal Assume a Normal distribution. What can be concluded at the the ax = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer ✓ H₁: Select an answer ✓ 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.) b. The test statistic c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should [Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are statistically insignificant at cx = 0.01, so there is insufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal The results are statistically insignificant at x = 0.01, so there is statistically significant evidence to conclude that the population mean memory score before a meal is equal to the population mean memory score after a meal. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a meal are not the same on average as the ten memory scores from the memory tests that were taken after a meal.
Is memory ability before a meal the same as 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. Score on the Memory Test Before a Meal 62 80 86 76 76 58 70 51 73 75 After 60 80 74 76 75 60 63 44 71 76 a Meal Assume a Normal distribution. What can be concluded at the the ax = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer ✓ H₁: Select an answer ✓ 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.) b. The test statistic c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should [Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are statistically insignificant at cx = 0.01, so there is insufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal The results are statistically insignificant at x = 0.01, so there is statistically significant evidence to conclude that the population mean memory score before a meal is equal to the population mean memory score after a meal. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a meal are not the same on average as the ten memory scores from the memory tests that were taken after a meal.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Need help please
![**Memory Test Analysis:**
This exercise examines whether memory ability is the same before and after a meal. Ten individuals were given memory tests before and after their meals. A higher score indicates a better memory ability. The scores are displayed below:
**Score on the Memory Test**
| Before a Meal | 62 | 80 | 86 | 76 | 76 | 58 | 70 | 51 | 73 | 75 |
|---------------|----|----|----|----|----|----|----|----|----|----|
| After a Meal | 60 | 80 | 74 | 76 | 75 | 60 | 63 | 44 | 71 | 76 |
Assume a Normal distribution. We need to determine what can be concluded at the \( \alpha = 0.01 \) level of significance.
**Steps for Analysis:**
1. **Select the Appropriate Test:**
- For this study, select the appropriate statistical test from the options provided.
2. **State the Hypotheses:**
- Null Hypothesis (\( H_0 \)): [Select an answer] is equal to [Select an answer] (Please enter a decimal).
- Alternative Hypothesis (\( H_1 \)): [Select an answer] is not equal to [Select an answer] (Please enter a decimal).
3. **Calculate the Test Statistic:**
- The test statistic is denoted by \( t = \) [Enter your answer to three decimal places].
4. **Determine the p-value:**
- Compute the p-value to assess the significance of the test. Please enter your answer to four decimal places.
5. **Compare the p-value with \( \alpha \):**
- Decide whether the p-value is less than or greater than \( \alpha \).
6. **Draw the Conclusion:**
- Based on the comparison, select an answer regarding the null hypothesis.
**Conclusion Options:**
- The results are statistically insignificant at \( \alpha = 0.01 \); thus, insufficient evidence exists to conclude that the population mean memory score before a meal is not the same as after a meal.
- The results are statistically significant at \( \alpha = 0.01 \); thus, there is sufficient evidence to conclude that the population mean memory score before a meal differs from after a meal.
- The results are statistically](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc260e632-e4e2-45c7-853f-2d07e95220d0%2F6ef6bea1-73a2-4869-acb5-aa6ab35a2e07%2Fqe8v7y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Memory Test Analysis:**
This exercise examines whether memory ability is the same before and after a meal. Ten individuals were given memory tests before and after their meals. A higher score indicates a better memory ability. The scores are displayed below:
**Score on the Memory Test**
| Before a Meal | 62 | 80 | 86 | 76 | 76 | 58 | 70 | 51 | 73 | 75 |
|---------------|----|----|----|----|----|----|----|----|----|----|
| After a Meal | 60 | 80 | 74 | 76 | 75 | 60 | 63 | 44 | 71 | 76 |
Assume a Normal distribution. We need to determine what can be concluded at the \( \alpha = 0.01 \) level of significance.
**Steps for Analysis:**
1. **Select the Appropriate Test:**
- For this study, select the appropriate statistical test from the options provided.
2. **State the Hypotheses:**
- Null Hypothesis (\( H_0 \)): [Select an answer] is equal to [Select an answer] (Please enter a decimal).
- Alternative Hypothesis (\( H_1 \)): [Select an answer] is not equal to [Select an answer] (Please enter a decimal).
3. **Calculate the Test Statistic:**
- The test statistic is denoted by \( t = \) [Enter your answer to three decimal places].
4. **Determine the p-value:**
- Compute the p-value to assess the significance of the test. Please enter your answer to four decimal places.
5. **Compare the p-value with \( \alpha \):**
- Decide whether the p-value is less than or greater than \( \alpha \).
6. **Draw the Conclusion:**
- Based on the comparison, select an answer regarding the null hypothesis.
**Conclusion Options:**
- The results are statistically insignificant at \( \alpha = 0.01 \); thus, insufficient evidence exists to conclude that the population mean memory score before a meal is not the same as after a meal.
- The results are statistically significant at \( \alpha = 0.01 \); thus, there is sufficient evidence to conclude that the population mean memory score before a meal differs from after a meal.
- The results are statistically
Expert Solution

Step 1: Mentioning the given data
Before a meal | After a meal |
62 | 60 |
80 | 80 |
86 | 74 |
76 | 76 |
76 | 75 |
58 | 60 |
70 | 63 |
51 | 44 |
73 | 71 |
75 | 76 |
Step by step
Solved in 9 steps with 14 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman