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Is memory ability before a meal worse 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. Score on the Memory Test Before 61 72 63 58 78 77 58 67 77 67 a Meal After 60 62 68 71 78 71 71 74 75 69 a Meal Assume a Normal distribution. What can be concluded at the the a 0.05 level of significance? For this study, we should use Select an answer

Is memory ability before a meal worse 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. Score on the Memory Test Before 61 72 63 58 78 77 58 67 77 67 a Meal After 60 62 68 71 78 71 71 74 75 69 a Meal Assume a Normal distribution. What can be concluded at the the a 0.05 level of significance? For this study, we should use Select an answer

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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**Interpret the p-value in the context of the study:** - If the sample mean memory score for the 10 people who took the test before a meal is the same as the sample mean memory score for the 10 people who took the test after a meal, and if another 10 people are given a memory test before and after a meal, then there would be a 20.1% chance of concluding that the mean memory score for the 10 people who took the test before a meal is at least 2.1 points lower than the mean memory score for the 10 people who took the test after a meal. - If the population mean memory score before a meal is the same as the population mean memory score after a meal, and if another 10 people are given a memory test before and after a meal, then there would be a 20.1% chance that the mean memory score for the 10 people who took the test before a meal would be at least 2.1 points lower than the mean memory score for the 10 people who took the test after a meal. - There is a 20.1% chance that the mean memory score for the 10 people who took the test before a meal is at least 2.1 points lower than the mean memory score for the 10 people who took the test after a meal. - There is a 20.1% chance of a Type I error. **Interpret the level of significance in the context of the study:** - If the population mean memory score before a meal is the same as the population mean memory score after a meal, and if another 10 people are given a memory test before and after a meal, then there would be a 5% chance that we would end up falsely concluding that the sample mean memory scores before and after a meal for these 10 people who were part of the study differ from each other. - There is a 5% chance that the population mean memory score is the same before and after a meal. - If the population mean memory score before a meal is the same as the population mean memory score after a meal, and if another 10 people are given a memory test before and after a meal, then there would be a 5% chance that we would end up falsely concluding that the population mean memory score before a meal is lower than the population mean memory score after a meal. - There is a 5% chance that
Transcribed Image Text:**Interpret the p-value in the context of the study:** - If the sample mean memory score for the 10 people who took the test before a meal is the same as the sample mean memory score for the 10 people who took the test after a meal, and if another 10 people are given a memory test before and after a meal, then there would be a 20.1% chance of concluding that the mean memory score for the 10 people who took the test before a meal is at least 2.1 points lower than the mean memory score for the 10 people who took the test after a meal. - If the population mean memory score before a meal is the same as the population mean memory score after a meal, and if another 10 people are given a memory test before and after a meal, then there would be a 20.1% chance that the mean memory score for the 10 people who took the test before a meal would be at least 2.1 points lower than the mean memory score for the 10 people who took the test after a meal. - There is a 20.1% chance that the mean memory score for the 10 people who took the test before a meal is at least 2.1 points lower than the mean memory score for the 10 people who took the test after a meal. - There is a 20.1% chance of a Type I error. **Interpret the level of significance in the context of the study:** - If the population mean memory score before a meal is the same as the population mean memory score after a meal, and if another 10 people are given a memory test before and after a meal, then there would be a 5% chance that we would end up falsely concluding that the sample mean memory scores before and after a meal for these 10 people who were part of the study differ from each other. - There is a 5% chance that the population mean memory score is the same before and after a meal. - If the population mean memory score before a meal is the same as the population mean memory score after a meal, and if another 10 people are given a memory test before and after a meal, then there would be a 5% chance that we would end up falsely concluding that the population mean memory score before a meal is lower than the population mean memory score after a meal. - There is a 5% chance that
**Memory Ability Before and After a Meal** **Research Question:** Is memory ability before a meal worse than after a meal? Ten participants were administered memory tests before their meal and again after their meal. A higher score indicates better memory ability. **Data:** | Score on the Memory Test | Before a Meal | After a Meal | |--------------------------|---------------|---------------| | Person 1 | 61 | 60 | | Person 2 | 72 | 62 | | Person 3 | 63 | 68 | | Person 4 | 58 | 71 | | Person 5 | 78 | 78 | | Person 6 | 77 | 71 | | Person 7 | 58 | 71 | | Person 8 | 67 | 74 | | Person 9 | 77 | 75 | | Person 10 | 67 | 69 | **Assumptions:** Assume a normal distribution. The significance level is \(\alpha = 0.05\). **Statistical Analysis:** - **a. Hypotheses:** - Null Hypothesis (\(H_0\)): \[ \text{Select an answer} \] - Alternative Hypothesis (\(H_1\)): \[ \text{Select an answer} \] - **b. Test Statistic:** \(\text{Test statistic } = \_\_\_ \) (use 3 decimal places) - **c. P-value:** \(\text{P-value } = \_ \_ \_ \_ \) (use 4 decimal places) - **d. Comparison:** - \(\text{P-value } \text{ is } \ \text{__} \ \alpha\) - **e. Decision:** Based on this, we should \[ \text{Select an answer} \] the null hypothesis. - **f. Conclusion:** - \(\circ\) The results are statistically insignificant at \(\alpha = 0.05\), so there is insufficient evidence to conclude that the population mean memory score before a meal is lower than the population mean memory score after a meal. - \(\circ\) The results are statistically significant at
Transcribed Image Text:**Memory Ability Before and After a Meal** **Research Question:** Is memory ability before a meal worse than after a meal? Ten participants were administered memory tests before their meal and again after their meal. A higher score indicates better memory ability. **Data:** | Score on the Memory Test | Before a Meal | After a Meal | |--------------------------|---------------|---------------| | Person 1 | 61 | 60 | | Person 2 | 72 | 62 | | Person 3 | 63 | 68 | | Person 4 | 58 | 71 | | Person 5 | 78 | 78 | | Person 6 | 77 | 71 | | Person 7 | 58 | 71 | | Person 8 | 67 | 74 | | Person 9 | 77 | 75 | | Person 10 | 67 | 69 | **Assumptions:** Assume a normal distribution. The significance level is \(\alpha = 0.05\). **Statistical Analysis:** - **a. Hypotheses:** - Null Hypothesis (\(H_0\)): \[ \text{Select an answer} \] - Alternative Hypothesis (\(H_1\)): \[ \text{Select an answer} \] - **b. Test Statistic:** \(\text{Test statistic } = \_\_\_ \) (use 3 decimal places) - **c. P-value:** \(\text{P-value } = \_ \_ \_ \_ \) (use 4 decimal places) - **d. Comparison:** - \(\text{P-value } \text{ is } \ \text{__} \ \alpha\) - **e. Decision:** Based on this, we should \[ \text{Select an answer} \] the null hypothesis. - **f. Conclusion:** - \(\circ\) The results are statistically insignificant at \(\alpha = 0.05\), so there is insufficient evidence to conclude that the population mean memory score before a meal is lower than the population mean memory score after a meal. - \(\circ\) The results are statistically significant at
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