Computation between the Two Means

4.2. Computation between the Two Means

After getting all the scores, the computation was made. The first way to know the significant different of the experiment could be seen through the difference of the two means. The following formula was used to get the means: N Xe Me ∑ = N Xc Mc ∑ = Where, Me : the mean score of the experimental group Mc : the mean score of the control group ∑Xe : the sum of all scores of the experimental group ∑Xc : the sum of all scores of the control group N : the number of the subject sample The score distribution of the experimental and control group can be seen in appendix 3 and 4. The computation of the scores of the experimental group and control group was calculated as follows: N Xe Me ∑ = = 16 337 = 21, 06 N Xc Mc ∑ = = 16 281 = 17, 56 The means score of the experimental group was 21, 06 and the means score of the control group was 17, 56. If we compare the two means, it was clear that the mean of the experimental group was higher than that of the control group. The difference between the two means was 3, 5. To make the analysis more reliable, I analyzed using t-test formula as stated in chapter III. Using t-test formula could see the difference between the two means. ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + + − = ∑ ∑ Ny Nx Ny Nx Y X My Mx t 1 1 2 2 2 Before applying the t-test formula, we should find out ∑ 2 X and ∑ 2 Y first. The step to get ∑ 2 X and ∑ 2 Y was: ∑ 2 X = 1 2 1 2 1 N X X ∑ ∑ − = 7189 - 16 113569 = 7189 – 7089 = 90, 94 ∑ 2 Y = 1 2 1 2 1 N Y Y ∑ ∑ − = 5013 - 16 78961 = 5013 – 4935, 06 = 77, 94 ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − + + − = ∑ ∑ Ny Nx Ny Nx Y X My Mx t 1 1 2 2 2 = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − + − 16 2 2 32 94 , 77 94 , 90 56 , 17 06 , 21 = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 8 1 30 88 , 168 5 , 3 = 8 63 , 5 5 , 3 = 7 , 5 , 3 = 4, 18 t-calculation is 4,18 and t-table is 3,5. t-calculation is higher than t-table. The number of subjects in this experiment for experimental and control groups were 32. The t-value is higher than t-table 4, 18 3, 5 so the difference is statistically significant. Based on the computation there was significant difference between teaching descriptive text using outdoor classical music and teaching descriptive text without using outdoor classical music.

4.3. Grade Achievement

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