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) H0: d = 0 Ha: d [ Select ] ["Not Equal To", "<", ">"] 0 Test statistic: [ Select ] ["Z", "T"] p-Value = [ Select ] ["0.02", "0.14", "0.03", "0.07"] [ Select ] ["Reject Ho", "Fail to Reject Ho"] Conclusion: There is [ Select ] ["insufficient", "statistically significant"] evidence to make the conclusion that the population mean memory ability before a meal differs from the population mean memory ability after a meal. 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 would be a [ Select ] ["14", "3", "7", "2"] percent chance that this new group would either perform at least [ Select ] ["1.11", "1.25", "1.18", "1.33"] points better on the test before the meal than on the test after the meal or at least [ Select ] ["1.11", "1.18", "1.33", "1.25"] 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 another twelve randomly selected people are tested then there would be a [ Select ] ["50", "10", "5", "2"] percent chance that this new study would result in the false conclusion that there is a difference in the mean memory ability before and after a meal.
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)
H0: d = 0
Ha: d [ Select ] ["Not Equal To", "<", ">"] 0
Test statistic: [ Select ] ["Z", "T"]
p-Value = [ Select ] ["0.02", "0.14", "0.03", "0.07"]
[ Select ] ["Reject Ho", "Fail to Reject Ho"]
Conclusion: There is [ Select ] ["insufficient", "statistically significant"] evidence to make the conclusion that the population
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 would be a [ Select ] ["14", "3", "7", "2"] percent chance that this new group would either perform at least [ Select ] ["1.11", "1.25", "1.18", "1.33"] points better on the test before the meal than on the test after the meal or at least [ Select ] ["1.11", "1.18", "1.33", "1.25"] 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 another twelve randomly selected people are tested then there would be a [ Select ] ["50", "10", "5", "2"] percent chance that this new study would result in the false conclusion that there is a difference in the mean memory ability before and after a meal.
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