memoi meal. people were given memory ests bef 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 a Meal 46 63 75 77 68 75 50 72 71 61 After | 49 62 66 84 68 80 64 76 73 68 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:
memoi meal. people were given memory ests bef 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 a Meal 46 63 75 77 68 75 50 72 71 61 After | 49 62 66 84 68 80 64 76 73 68 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:
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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Transcribed Image Text: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
46 63 75 77 68 75 50 72 71 61
After
49 62 66 84 68 80 64 76 73 68
а Мeal
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 ♥
Select an answer
(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 =
evidence to conclude that the population mean memory score before a meal is equal to the
population mean memory score after a meal.
0.05, so there is statistically significant
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 lower
on average than the ten memory scores from the memory tests that were taken after a meal.
%3D
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 lower than the population mean
memory score after a meal
%3D
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 lower 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

Transcribed Image Text: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 6.39% chance that the mean memory score for the 10 people
who took the test before a meal would be at least 3.2 points lower 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 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
6.39% chance of concluding that the mean memory score for the 10 people who took the test
before a meal is at least 3.2 points lower than the mean memory score for the 10 people who
took the test after a meal.
There is a 6.39% chance of a Type I error.
O There is a 6.39% chance that the mean memory score for the 10 people who took the test
before a meal is at least 3.2 points lower 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.
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.
O There is a 5% chance that the population mean memory score is the same before and after a
meal.
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 lower than the population mean memory score
after a meal
There is a 5% chance that your memory is so bad that you have already forgotten what this
chapter is about.
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