Question

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Is memory ability before a 5K race better than after a race? Ten people were given memory tests before their 5K race in Los Angeles and then again after their 5K race in Los Angeles. The data is shown below. A higher score indicates a better memory ability. Score on the Memory Test Before a Race 46 66 68 69 71 76 65 77 73 59 After 53 60 70 62 61 73 58 74 6663 Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: a Race Ho: Select an answer Select an answer Select an answer (please enter a decimal) H: Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic? (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 a e. Based on this, we should Select an answer 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 race is higher than the population mean memory score after a race. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a race are higher on average than the ten memory scores from the memory tests that were taken after a race. The results are statistically insignificant at a -0.01, so there is statistically significant evidence to conclude that the population mean memory score before a race is equal to the population mean memory score after a race. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean memory score before a race is higher than the population mean memory score after a race 8. Interpret the p-value in the context of the study.

Answer 1

2 Sample size (n = 10 Lel dia Before dira Before a race - After a raun a = + zdi= - +30=3 sa fiz (:- 2)2 = 5.5717 for this study, should use we & statistic paired t-test, a) Ho: M a H, i) 5.5777 Md yo 3 The tost statistic, to -1.701 salon d) P-value = P(+> 1.701) = 0.0616 with 10-159 adf e Based on this, we should fail to reject the mult hypothesis. 8) conclusion. The results are statistically insignificant at X=0.01, so there is insufficient evidence to conclude that population mean memory score before is higher than the population mean memory score offer .9 interpretation of p-vahu in the context of the study, Ans. There is a 6.16% chance of Type I h) interpret of significance in the content study: the error the lived of the Ansi