Residents of Balter Street complain about the noise level. According to their representative, a decrease in traffic volume would resolve this issue. Please validate this assumption using the data available in Table 1. Table 1. Noise level as a function of traffic volume Noise (dB) Traffic volume (car/hr) 55.4 50 74.1 250 77.1 400 64.8 100 72.3 350 74.8 200 Please answer the following questions. a) A justification of the statistical test you selected. A reference to a one-tailed or a two- tailed test is not accepted (0.7 points) b) The statistical hypotheses. The mathematical notation is not accepted (0.5 points) c) The results associated with the statistical test, i.e. (1.5 points) . The joint variability (Z(x - x) (y - y) ) The variance of a first variable The variance of the second variable The value of the test statistic . The critical value d) Your interpretation of the results of the statistical test and the practical implications. (0.8 points) Table 2 provides calculations that can be used to answer these questions. Table 2. Raw data and calculations on noise level and traffic volume Noise (n) Volume (v) n -n (n - n)2 - D (v - v)2 (n - n) (v -v) 74.8 200 5 25 -25 625.0 -125.0 55.4 50 -14.4 207.36 -175 30,625.0 2,520.0 77.1 400 7.3 53.29 175 30,625.0 1,277.5 72.3 350 2.5 6.25 125 15,625.0 312.5 74.1 250 4.3 18.49 25 625.0 107.5 64.8 100 -5 25 -125 15,625.0 625.0 Sums 418.5 1,350.0 0.0 335.4 0.0 93,750.0 4,717.5