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.

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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
|а Мeal
After
а Мeal
67 68 96 77 67 78 64 68 68 63
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:
Ho: Select an answer v
Select an answer vSelect an answer v (please enter a decimal)
H: Select an answer v
Select an answer v
Select an answer v (Please enter a decimal)
b. The test statistic ?v =
(please show your answer to 3 decimal places.)
c. The p-value =
(Please show your answer to 4 decimal places.)
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 ...
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.
O 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 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.
O If the sample mean memory score for the 10 people who took the test before a meal
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.
is the
h. Interpret the level of significance in the context of the study.
O 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 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.
O 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 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.
Transcribed Image Text: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 |а Мeal After а Мeal 67 68 96 77 67 78 64 68 68 63 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: Ho: Select an answer v Select an answer vSelect an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ?v = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) 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 ... 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. O 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 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. O If the sample mean memory score for the 10 people who took the test before a meal 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. is the h. Interpret the level of significance in the context of the study. O 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 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. O 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 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.
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