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. Score on the Memory Test Before 73 76 91 77 74 85 61 72 59 68 a Meal After 67 68 96 77 67 78 64 68 68 63 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 a. The null and alternative hypotheses would be: ) (please enter a decimal) ] (Please enter a decimal) Ho: Select an answer v Select an answer v Select an answer v H: Select an answer v Select an answer v Select an answer b. The test statistic ?v = |(please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? va e. Based on this, we should Select an answer v 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 a = 0.05, 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 = 0.05, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a meal are higher on average than the ten memory scores from the memory tests that were taken after a meal. O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean memory score before a meal is higher than the population mean memory score after a meal. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean memory score before a meal is higher than the population mean memory score after a meal g. Interpret the p-value in the context of the study. Olf 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 15.61% chance that the mean memory score for the 10 people who took the test before a meal would be at least 2 points higher than the mean memory score for the 10 people who took the test after a meal. O There is a 15.61% chance of a Type l error. O There is a 15.61% chance that the mean memory score for the 10 people who took the test before a meal is at least 2 points higher than the mean memory score for the 10 people who took the test after a meal. Olf 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 15.61% chance of concluding that the mean memory score for the 10 people who took the test before a meal is at least 2 points higher than the mean memory score for the 10 people who took the test after a meal. h. Interpret the level of significance in the context of the study. Olf 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 concuding that the population mean memory score before a meal is higher than the population mean memory score after a meal O There is a 5% chance that the population mean memory score is the same before and after a meal. O There is a 5% chance that your memory is so bad that you have already forgotten what this chapter is about. Olf 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 concuding 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.

Is memory ability before a meal different compared to after a meal? Twelve people were given memory tests before their meal and then again after their meal. The data is shown below.   Before 74 68 82 97 76 81 80 75 88 84 79 91 After 76 68 85 94 79 88 83 72 90 87 79 90   Assume the distribution of the differences is normal. What can be concluded at the 0.05 level of significance? (d = score before - score after) p-Value Interpretation: If the average memory ability is the same before and after a meal and if another twelve randomly selected people are tested, then there is a: _____________percent chance that this new group would either perform at least:____________points better on the test before the meal than on the test after the meal or at least points better on the test after the meal than on the test before the meal. Level of significance interpretation: If the average memory ability is the same before and after a meal and if many groups of twelve people are tested before…