Normality Homogenity Difference between Two Means

MD = ∑D = 188,00 = 4,95 N 38 t = 4,95 = 8,87 437,89 38 38 - 1 -1 = 37 , t 0.9528 = 2,026 -2,03 2,03 8,87 Based on the computation above, I obtained that t value was 8.8 and the t table was 2.03 so the t value was higher than t table. It meant that there was significant difference between mean of the pre-test and post-test using CLL method.

4.3.1 Normality

1. Normality test for pre-test Hipothesis Ho : The data distributed normality Ha : The data not distributed normality The Calculation Formula : Ho is accepted if x 2 x 2 tabel x 2 k-3 k 1 i i 2 i i 2 E E O Maximum score = 74,00 Panjang Kelas = 2,3 Minimum Score = 60,00 Mean X = 66,1 Range = 14,00 S = 4,8 Class with = 6,0 N = 38 Class Interval X pz p Z Ei Oi Oi-Ei² Ei 58,00 - 60,00 57,50 -1,81 0,4646 0,0842 3,201 6 2,448 61,00 - 63,00 60,50 -1,18 0,3803 0,1726 6,557 6 0,047 64,00 66,00 63,50 -0,55 0,2078 0,2408 9,151 11 0,374 67,00 - 69,00 66,50 0,08 0,0330 0,2289 8,700 5 1,574 70,00 - 72,00 69,50 0,71 0,2620 0,1483 5,636 5 0,072 73,00 - 75,00 72,50 1,34 0,4103 0,0654 2,487 5 2,541 75,50 1,97 0,4757 38 x 2 = 7,055 for α = 5, dk = 6 - 3 = 3, x² table = 7,815 7,055 7,81 Because c² 7,81 then the pre test is said to be normallly distributed. 2. Normality test for post-test Hipothesis Ho : The data distributed normality Ha : The data not distributed normality The Calculation Formula : Ho is accepted if x 2 x 2 tabel x 2 αk-3 Maximum score = 78,00 Panjang Kelas = 2,7 Minimum Score = 62,00 Mean X = 71,1 Range = 16,00 S = 4,2 Class with = 6,0 N = 38 Class Interval x pz p z Ei Oi Oi-Ei² Ei 60,00 - 62,00 59,50 -2,78 0,4973 0,0170 0,646 1 0,193 63,00 - 65,00 62,50 -2,06 0,4803 0,0709 2,693 3 0,035 66,00 68,00 65,50 -1,34 0,4094 0,1788 6,794 6 0,093 69,00 - 71,00 68,50 -0,61 0,2306 0,2735 10,395 9 0,187 72,00 - 74,00 71,50 0,11 0,0429 0,2539 9,648 11 0,189 75,00 - 78,00 74,5 0,83 0,2968 0,1668 6,337 8 0,437 78,5 1,79 0,4636 38 x² = 1,134 for α = 5, dk = 6 - 3 = 3, x² table = 7,815 1,134 7,81 Because c² 7,81 then the post test is said to be normallly distributed.

4.3.2 Homogenity

Hipothesis Ho : σ 1 2 = σ 2 2 Ha : σ 1 2 = σ 2 2 k 1 i i 2 i i 2 E E O The Calculation Formula : Ho is accepted if F F 12α nb-1:nk-1 F 12αnb-1:nk-1 Post test Pre test Sum 2700 2512 N 38 38 X 71,05 66,11 Variance s 2 17,2404 22,6913 Standart deviation s 4,15 4,76 F = 22,69 = 1,3162 17,24 For α = 5 with: df1 = n1 - 1 = 38 - 1 = 37 df2 = n2 - 1 = 38 - 1 = 37 F 0.02537:37 = 1,92 1,32 1,92 Since F value F table, the pre test and post test of experimental group have the same variance VK Vb F

4.4 Description of Students’ Overall Ability before Treatment