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
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**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
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
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Step 1: Mentioning the given data
Before a mealAfter a meal
6260
8080
8674
7676
7675
5860
7063
5144
7371
7576
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