3 matched pairs
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 65 61 77 69 87 189 83 87 85 69 a Meal After 50 50 78 69 81 87 81 80 82 65 a Meal Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and alternative hypotheses would be: Ho: ud V V D VO (please enter a decimal) H1 : ud v V > vVO (Please enter a decimal) b. The test statistic t v V = 3.100 (please show your answer to 3 decimal places.) c. The p-value = 0.0064 |(Please show your answer to 4 decimal places.) d. The p-value is s v V a e. Based on this, we should reject vy the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 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 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. 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