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X ed Is memory ability before a meal the same as after a meal? Ten people were given memory tests before their meal and then
X ed Is memory ability before a meal the same as 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 12 13 79 81 67 78 12 51 a Meal After 52 63 75 77 74 a Meal 79 74 65 70 41 Assume a Normal distribution. What can be concluded at the the o = 0.01 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 v | |Select an answer v (please enter a decimal) H1: 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 ? v | a 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 significant at o = 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 not the same on average as the ten memory scores from the memory tests that were taken after a meal. The results are statistically insignificant at o = 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. The results are statistically significant at o = 0.01, so there is sufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal The results are statistically insignificant at o = 0.01, so there is insufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal. g. Interpret the p-value in the context of the study. There is a 4.02% chance that the mean memory score for the 10 people who took the test before a meal differs by at least 5.3 points compared to the mean memory score for the 10
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