Question

Is the average time to complete an obstacle course different when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 47 40 47 40 50 48 42 40 Left 43 39 44 35 47 48 40 39 Assume a Normal distribution. What can be concluded at the the a=0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer (please enter a decimal) Hi: 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 ? e. Based on this, we should Select an answer the null hypothesis. a

Answer 1

The calculation of dbar and sd

C Right Left 47 40 47 40 difference (di-dbar)^2 43 4 2.640625 39 1 1.890625 44 3 0.390625 35 5 6.890625 47 3 0.390625 48 05.640625 40 2 0.140625 39 1 1.890625 19 19.875 50 48 42 40

Sol we should use t-lest for the difference bebrer two dependent population means a) The null and alternative hypothesis is Hoid = 0 Haildzo b) de Edi = 19 = 2.375 8 Sa= Eldi-j² 19.875 ni 17-1 = 1.685 = 3.986 t = J - Md 2-375-0 sur la lobos V8 c) P-value = 0.00 26 d) P-value is less than < (0.10). we should reject the e) we null hypothesis. f) option: A is correct.