Trial Image set Object type Position Response Time (ms) 7.0 Tool Left 509.0 3.0 Tool Right W N 1843.0 1.0 Tool Right 1063.0 29.0 Nontool Right 1284.0 26.0 Tool NOUD Right 1194.0 23.0 Tool Left 980.0 20.0 Nontool Left 770.0 4.0 Tool Right 705.0 CO 29.0 Tool Right 857.0 10 20.0 Nontool Right 889.0 11 21.0 Nontool Left 778.0 12 26.0 Nontool Left 764.0 13 23.0 Tool Right 945.0 14 4.0 Tool Left 1095.0 15 17.0 Tool Right 657.0 16 7.0 Nontool Right 693.0 17 10.0 Tool Left 605.0 18 19.0 Nontool Left 906.0 19 24.0 Nontool Right 786.0 20 27.0 Nontool Left 795.0 21 14.0 Nontool Left 707.0 22 13.0 Nontool Left 1331.0 23 12.0 Tool Left 1167.0 24 10.0 Nontool Left 703.0 25 13.0 Nontool Right 923.026 7.0 Nontool Left 656.0 27 21.0 Tool Left 756.0 28 1.0 Nontool Left 787.0 29 21.0 Tool Right 857.0 30 6.0 Nontool Right 835.0 31 28.0 Nontool Right 752.0 32 26.0 Nontool Right 890.0 33 3.0 Nontool Left 673.0 34 28.0 Nontool Left 805.0 35 3.0 Tool Left 746.0 36 4.0 Nontool Right 874.0 37 10.0 Tool Right 793.0 38 28.0 Tool Left 864.0 39 29.0 Tool Left 602.0 40 15.0 Tool Right 1157.0 41 28.0 Tool Right 752.0 42 6.0 Tool Right 3361.0 43 11.0 Nontool Left 957.0 44 14.0 Tool Left 648.0 45 27.0 Nontool Right 1356.0 46 13.0 Tool Left 542.0 47 18.0 Nontool Left 820.0 48 25.0 Nontool Left 907.0 49 2.0 Tool Right 889.0 50 15.0 Nontool Left 1022.0 51 8.0 Tool Left 1463.0 52 8.0 Nontool Right 955.0 53 18.0 Tool Left 775.0 54 14.0 Tool Right 887.0 55 17.0 Tool Left 629.056 1.0 Tool Left 797.0 57 20.0 Tool Left 677.0 58 22.0 Nontool Right 991.0 59 13.0 Tool Right 857.0 60 8.0 Tool Right 717.0 61 1.0 Nontool Right 601.0 62 5.0 Tool Right 857.0 63 3.0 Nontool Right 934.0 64 2.0 Nontool Right 1308.0 65 12.0 Nontool Right 879.0 66 9.0 Nontool Left 2378.0 67 21.0 Nontool Right 1164.0 68 4.0 Nontool Left 782.0 69 6.0 Nontool Left 666.0 70 25.0 Tool Left 895.0 71 16.0 Nontool Right 868.0 72 18.0 Tool Right 706.0 73 23.0 Nontool Right 1136.0 74 22.0 Nontool Left 796.0 75 24.0 Tool Right 602.0 76 17.0 Nontool Right 1284.0 77 16.0 Tool Left 591.0 78 17.0 Nontool Left 1654.0 79 9.0 Tool Right 916.0 80 2.0 Nontool Left 861.0 81 25.0 Tool Right 776.0 82 5.0 Nontool Left 1159.0 83 20.0 Tool Right 832.0 84 16.0 Tool Right 691.0 85 24.0 Tool Left 1254.086 26.0 Tool Left 715.0 87 12.0 Nontool Left 766.0 88 19.0 Tool Right 831.0 89 29.0 Nontool Left 714.0 90 5.0 Tool Left 834.0 91 16.0 Nontool Left 826.0 92 27.0 Tool Left 655.0 93 18.0 Nontool Right 1004.0 94 19.0 Nontool Right 821.0 95 14.0 Nontool Right 755.0 96 25.0 Nontool Right 789.0 97 10.0 Nontool Right 700.0 98 11.0 Too Right 612.0 99 2.0 Tool Left 621.0 100 12.0 Too Right 1144.0 101 22.0 Tool Right 724.0 102 27.0 Tool Right 681.0 103 22.0 Tool Left 644.0 104 23.0 Nontool Left 935.0 105 9.0 Nontool Right 1220.0 106 9.0 Tool Left 696.0 107 8.0 Nontool Left 868.0 108 15.0 Nontool Right 1278.0 109 24.0 Nontool Left 1286.0 110 11.0 Nontool Right 1079.0 111 11.0 Tool Left 783.0 112 6.0 Tool Left 1015.0 113 5.0 Nontool Right 1093.0 114 19.0 Tool Left 1204.0 115 15.0 Tool Left 818.0 116 7.0 Tool Right 841.0This anaiysis allows you to simultaneousiy run three related hypothesis test. The rst test explores a main effect for the type oftarget image (tool or nontcol). The null hypothesis is that the mean reaction time is the same for both image types: H03 \"tool = l-'nontccli while the alternative hypothesis is that the mean reaction times are different: Ha: \"tool # Pnonlool- The second hypothesis test explores the effect for the position of the target. The null hypothesis is that the mean reaction time is the same for the two positions: Ho: Plan = \"right; while the alternative hypothesis is that the mean reaction times are different: Hal then f l-lrigm- Finally, you can test for an interaction of the main effects. This investigates whether there is a difference in the differences of mean reaction times. For example, if you show hemispheric specialization for tools, then there should be a difference in reaction times for tools on the right side compared to the left side, but there should be no position effect for nontools. The null hypothesis is that there is no difference in these differences: H0: \"tcclJe ' \"toolJight = \"nontoolJeft ' \"nontoolJight; while the alternative hypothesis is that there is a difference in the differences: Ha: PtccUe ' Ptoollright # UncntcclJe ' Pnontoolght: For all the tests we will use a = 0.05. After computing the means of the different conditions by hand (or spreadsheet), you will be asked to enter in the statistics from a Within Subjects Two-Way ANOVA. The calculations for this test are rather tedious, and they are most commonly done by computer programs. The calculations for this lab are easily done with an online calculator. Use the trial-bytrial data to answer these questions. Question Answer Mean RT for object type Tool, and position Right: (The difference between your answer and the correct value must be less than 0.01.) :[ Mean RT for object type Nonto'ol, and position Right: (The difference between your answer and the correct value must be less than 0.01.) :[ pvalue for Object type (rows): :[ (The difference between your answer and the correct value must be less than 0.001.) Fratio for Position (columns): :[ (The difference between your answer and the correct value must be fess than 0.01.) l pvalue for the interaction: (The difference between your answer and the correct value must be less than 0.001 -) :[ _l Do you reject the null hypothesis for Position