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 79 48 73 66 59 74 52 66 71 62 FFFF 72 41 71 62 61 79 42 58 70 56 Assume a Normal distribution. What can be concluded at the the ax = 0.01 level of significance? For this study, we should use t-test for the difference between two dependent population means Ho : ud 8 8 8 5 8 8 8 Before a Meal 0 a. The null and alternative hypotheses would be: H₁: ud After a Meal 0 0 (please enter a decimal) (Please enter a decimal)

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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
79 48 73 66 59 74 52 66 71 62
72 41 71 62 61 79 42 58 70 56
Assume a Normal distribution. What can be concluded at the the ax = 0.01 level of significance?
For this study, we should use t-test for the difference between two dependent population means
Ho : ud
8 8 8
E 8 8
H₁: ud
8
0
a. The null and alternative hypotheses would be:
b. The test statistic
Before
a Meal
0
After
a Meal
V
c. The p-value=
d. The p-value is
On
e. Based on this, we should fail to reject
α
0
0
(please enter a decimal)
(Please enter a decimal)
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
the null hypothesis.
f. Thus, the final conclusion is that ...
The results are statistically insignificant at a = 0.01, 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 x = 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 higher
on average than the ten memory scores from the memory tests that were taken after a meal.
O The results are statistically significant at = 0.01, 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
O 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.
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 79 48 73 66 59 74 52 66 71 62 72 41 71 62 61 79 42 58 70 56 Assume a Normal distribution. What can be concluded at the the ax = 0.01 level of significance? For this study, we should use t-test for the difference between two dependent population means Ho : ud 8 8 8 E 8 8 H₁: ud 8 0 a. The null and alternative hypotheses would be: b. The test statistic Before a Meal 0 After a Meal V c. The p-value= d. The p-value is On e. Based on this, we should fail to reject α 0 0 (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.01, 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 x = 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 higher on average than the ten memory scores from the memory tests that were taken after a meal. O The results are statistically significant at = 0.01, 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 O 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.
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