## 3 Results and Discussion
### Statistical Analysis for Method Validation  
After obtaining the density data of the 6 JMFs that meet the established criteria for the analysis of consistent data, the degree of compaction is calculated as shown in Equation (3), which are expected to be greater than 92%, because this value is closely linked to the percentage of air voids within the HMA. Most of the compaction percentage data is between 96% and 98% (Figure 10). After the calculation of the compaction of the JMF of the asphalt mixture, which had consistent results, the calculations of air void content were carried out, as shown in Equation (4) (Figure 11). For a high-performance and durable mixture, the acceptable air void content must be less than 8%; for this research, the acceptable air void content is 3-8%. It can be seen that the averages of work formulae with consistent data are not within the established limits, but in JMF41 and JMF19, only the JMF10 has no point within the pre-established limits, so it is possible to indicate that 5 of the 6 consistent JMFs will be durable and will not have problems with the levels of effort and environmental factors presented [1; 2; 3; 4; 5]. For the data obtained in the calculation of air void content, it is observed that compliance is within the acceptance limits (AV = 3-8%). The job mix formulae is as follows: JMF41 9 of 21 data (42.9%), JMF19 7 of 10 data (70.0%), JMF23 37 of 60 data (61.7%), JMF10 9 of 13 data (69.2%), JMF17 20 of 28 data (71.4%), and JMF34 13 of 14 data (92.9%). In the specifications provided by the high-performance asphalt mixtures design method, it is mentioned that values of the required density are evaluated (degree of compaction with respect to Gmm). Table 5 shows the compaction parameters for roads with medium to high traffic (state and interstate roads) [4]. Figure 10: Results of compaction degree of HMA in the field with the EM density gauge of JMF with statistical repeatability. As shown in Table 5, the number of initial turns (N\({}_{\text{initial}}\) = 8), the number of design turns (N\({}_{\text{design}}\) = 100), and the number of maximum turns (N\({}_{\text{max}}\) = 160) have to be referenced for the application cycle of the rotary compactor load, which are referenced for the transit type for the design lane [4]. On the other hand, the ratio has an increase of 1% in the degree of compaction, while the content of air voids is decreased by 0.5%. The \(t\)-Student test is performed for the datasets of the population sample in order to assess whether the population average. The \(t\)-Student method is used to examine the differences between two small independent samples having normal distribution and homogeneity in variances, so that the data in the analysis is able to perform this method of statistical testing between the sample of the density readings of the HMAs performed with the EM densimeter and the range containing 95% of its population (Figure 12). In the test performed on the sets JMF41 (Figure 12a), JMF19 (Figure 12b), JMF23 (Figure 12c), JMF10 (Figure 12d), JMF17 (Figure 12e), and JMF34 (Figure 12f), it is seen that the \(p\)-value results are extremely small (\(p<0.05\)), which indicates that the evidence against the hypothesis is practically nil. An important detail is that the data are very large, so the results are far from the hypothetical average. Table 6 below shows the summary of the \(t\)-Student assessment for the sets. The \(p\)-value analysis is statistically useful to know the hypothesis, and a value of \(p<0.05\) indicates that the null hypothesis is false, i.e., that the expected values are not within the confidence interval of the parameters established within the acceptance range. According to the results of the \(p\)-value in Table 6, it is feasible to mention that the statistical probability that the values are outside the statistical range of the hypothesis, demonstrating consistency of the JMF. Figure 11: Results of HMA air void content in the field with the EM density gauge of JMF with statistical repeatability.