JURNAL SINTAK https://journal.iteba.ac.id/index.php/jurnalsintak <p>Jurnal Sintak merupakan jurnal yang dikelola oleh Program Studi Matematika Institut Teknologi Batam (ITEBA). Jurnal Sintak menjadi sarana dalam menyebarkan pengetahuan terkait teori maupun aplikasinya di bidang matematika, statistika, dan aktuaria yang diterbitkan dua kali setahun (September dan Maret). Jurnal Sintak menyambut naskah berkualitas yang dihasilkan dari lingkup matematika, statistika, dan aktuaria.</p> LPPM-ITEBA en-US JURNAL SINTAK 2963-3605 Correlation Analysis between Manhour and Manpower in The Aircraft Structure Repair Division at Batam Aero Technic Hangar https://journal.iteba.ac.id/index.php/jurnalsintak/article/view/585 <p><em>This study aims to analyze the correlation between manhours (working time) and manpower (labor) in the Aircraft Structure Repair Division at Batam Aero Technic Hangar, specifically for aircraft maintenance work on PK-LJQ 2024 with lightning strike damage. Using a quantitative approach with correlational analysis, secondary data in the form of historical operational records from 2024 were analyzed to measure the interdependence between these two variables. Pearson correlation test results showed a very strong positive relationship (r&nbsp;= 0,980;&nbsp;p&nbsp;&lt; 0,05), with a coefficient of determination (r²) of 96,04%, indicating that 96.04% of manhour variation can be explained by manpower variation. Descriptive analysis revealed a proportional resource allocation pattern, where 180-minute jobs required 1 technician, 360–480-minute jobs required 2 technicians, and 720-minute jobs required 3 technicians. These findings prove that repair time efficiency is highly influenced by optimal labor allocation. This research provides practical implications for the aviation Maintenance, Repair, and Overhaul (MRO) industry in enhancing productivity by adjusting personnel numbers based on job complexity. The results can also serve as a basis for managerial decision-making in more efficient resource planning.</em></p> Farda Auwalia Nahrul Hayati Copyright (c) 2025 Farda Auwalia, Nahrul Hayati https://creativecommons.org/licenses/by/4.0 2025-09-23 2025-09-23 4 1 1 7 10.62375/jsintak.v4i1.585 Environmentally Friendly Bioplastic Derived from Banana Peel (Musa paradisiaca) Waste and Agar-Agar Adhesive: An Experimental Study Employing a Completely Randomized Design (CRD) https://journal.iteba.ac.id/index.php/jurnalsintak/article/view/712 <p><em>This study aims to develop eco-friendly bioplastics from banana peel (Musa paradisiaca) waste with natural binder agar. The research employed a Completely Randomized Design (CRD) with one factor and three treatment levels of banana peel extract: 15 ml, 30 ml, and 45 ml. Each treatment was replicated three times, with three observed variables: tensile strength, maximum load, and water absorption. The analysis of variance showed that banana peel concentration significantly affected tensile strength and maximum load (p &lt; 0.05), but not water absorption (p &gt; 0.05). Further Duncan’s test indicated that the 30 ml treatment resulted in the best mechanical performance. These findings suggest that a formulation using 30 ml banana peel extract, 1 gram of agar, and 1 ml of glycerol can produce bioplastics with strong mechanical properties. This formulation holds potential as an environmentally friendly alternative to conventional plastics</em></p> Laras Devikaduri Vitri Aprilla Handayani Copyright (c) 2025 Laras Devikaduri, Vitri Aprilla Handayani https://creativecommons.org/licenses/by/4.0 2025-09-23 2025-09-23 4 1 8 14 10.62375/jsintak.v4i1.712 The Implementation of Active Learning Strategy of True or False Type in Improving the Learning Outcomes of Grade IX Students in the Subject of Akidah Akhlak at MTs. Al-Qalam Teppo https://journal.iteba.ac.id/index.php/jurnalsintak/article/view/714 <p><em>This study tested the True or False Active Learning strategy in improving the learning outcomes of ninth-grade students at MTs. Al-Qalam Teppo. The objectives of this study were: 1) analyzing learning outcomes before implementing the True or False Active Learning strategy, 2) analyzing learning outcomes after implementing the True or False Active Learning strategy, and 3) examining whether there were differences in learning outcomes before and after implementing the True or False Active Learning strategy.</em></p> <p><em>The research method used a quantitative pre-experimental approach with a One Group Pretest-Posttest design. The subjects consisted of 23 ninth-grade B students selected using purposive sampling. The research instrument used a pre-test and post-test, with descriptive and inferential statistical analysis.</em></p> <p><em>The results showed an increase in the average score from 46.04 (pre-test) to 72.39 (post-test). Based on the results of the paired-sample t-test, the significance level was 0.001 (&lt;0.05), thus H1 was accepted and H2 was rejected. In conclusion, the True or False type Active Learning strategy can improve learning outcomes in the Aqidah Morals subject.</em></p> Reza Arianto Darwis Ahmad Ridhai Azis Copyright (c) 2025 Reza Arianto, Darwis, Ahmad Ridhai Azis https://creativecommons.org/licenses/by/4.0 2025-09-23 2025-09-23 4 1 15 19 10.62375/jsintak.v4i1.714 Analysis of Fabrication Work Progress Based on Time Duration and Component Weight at PT. DIP Engineering https://journal.iteba.ac.id/index.php/jurnalsintak/article/view/719 <p><em>This study aims to analyze the progress of fabrication work at PT. DIP Engineering based on time parameters and component weight. The research method used is descriptive quantitative by analyzing secondary data of daily production output and inter-stage durations. The results show that peak activity occurred at the end of May, followed by a decline in early June due to design revisions and stage transitions. Duration analysis identified the waiting time from fit-up to welding as the main bottleneck, with an average of 5.42 days (73% of the total 7.42-day cycle). Pearson correlation test showed a strong and significant positive relationship between weight and quantity of item in the welding and visual inspection stages, although the coefficient of determination indicates that other factors such as item complexity also have a major influence. The study concludes that monitoring based on weight and time data provides objective insights for production planning, and optimization efforts should be focused on reducing queues at the welding stage to accelerate the overall production cycle.</em></p> Rantini Dwi Oktavia Nahrul Hayati Copyright (c) 2025 Rantini Dwi Oktavia, Nahrul Hayati https://creativecommons.org/licenses/by/4.0 2025-09-23 2025-09-23 4 1 20 30 10.62375/jsintak.v4i1.719 Ordinal Logistic Regression Model for Human Development Index: A Case Study of Provinces in The southern part of Sumatra https://journal.iteba.ac.id/index.php/jurnalsintak/article/view/723 <p>Ordinal logistic regression is a statistical method used to analyze ordinal dependent variables with three or more categories. This study aims to model the Human Development Index (HDI) in the southern Sumatra region, which includes the provinces of Bengkulu, Bangka Belitung, Jambi, South Sumatra, and Lampung. HDI is categorized into three groups: low, medium, and high. The predictor variables used include Gross Regional Domestic Product (GRDP), poverty rate, access to safe drinking water, open unemployment rate (OUR), and labor force participation rate (LFPR). The analysis results indicate that three variables significantly influence HDI: the percentage of the poor population, the proportion of households with access to safe drinking water, and the open unemployment rate (OUR). This study did not conduct a spatial heterogeneity test; therefore, it is recommended that future research incorporate such a test</p> Alus Ahmad Suhaimi Pepi Novianti Riwi Dyah Pangesti Copyright (c) 2025 Alus Ahmad Suhaimi, Pepi Novianti, Riwi Dyah Pangesti https://creativecommons.org/licenses/by/4.0 2025-09-23 2025-09-23 4 1 31 38 10.62375/jsintak.v4i1.723 Application Of Ordinal Logistic Regression On Harmonious Religion Communion Data In Bali Province In 2024 https://journal.iteba.ac.id/index.php/jurnalsintak/article/view/726 <p><em>This study aims to analyze the influence of educational attainment and income level on the Religious Harmony Index in Bali Province using ordinal logistic regression. Secondary data from the 2024 Religious Harmony Survey was used, involving 400 respondents. The research results indicate that neither education nor income has a significant effect on the level of religious harmony in Bali Province. This suggests that structural factors such as education and economy may not be the primary determinants of social harmony in Balinese society, but rather cultural values, local wisdom, and social interactions that have been internalized in daily life. The simultaneous test results show that the overall ordinal logistic regression model is not significant. This conclusion affirms that harmony in Bali is influenced by factors other than the variables tested.</em></p> Fourria Renggani Al-Imdi Laelatul Khikmah Copyright (c) 2025 Fourria Renggani Al-Imdi, Laelatul Khikmah https://creativecommons.org/licenses/by/4.0 2025-09-23 2025-09-23 4 1 39 44 10.62375/jsintak.v4i1.726