Transportation engineers determined that to help ease traffic, they would set up tolls for solo drivers during rush hour times on Route I-66 inside the Capital Beltway (Route I-495). Carpooling drivers with the proper Ezpass would drive free. The toll program began in December 4, 2017. To test the claim that fewer vehicles would use Route I-66 after the program began, a count of the number of vehicles was collected from two random samples. One sample collected the number of daily vehicles for 12 randomly selected days prior to December 4, 2017 ("Before") and a second sample collected the number of daily vehicles for another 12 randomly selected days after December 4, 2017 ("After") (up to a year after). The data set is called "Number of Vehicles 1." Use the significance level = 0.05. a) What type of data are collected for each sample (categorical or numerical)? How many samples have been selected? Answer these questions in one sentence each. b) Have the samples been collected independently or dependently? Answer the question and provide a reason why in one sentence. c) Define the population parameter in the context of this question in one sentence. d) State the hypotheses you would use to test the claim stated in the question. e) Calculate the statistic you plan to use to estimate the stated parameter in part (b). Round this statistic to a whole number. f) Produce one image that displays both samples' data using horizontal boxplots. Please title and label this graph correctly and copy the graph into your solutions. g) Give a one-sentence interpretation of this plot. Also, comment on whether it is appropriate to use the t-distribution for inference based on this interpretation and the conditions necessary. h) No matter your answer to part (g), use Stat T Stats Two Sample With Data to compute the test statistic and p-value for this hypothesis test. Select Sample 1 as "After" and Sample 2 as "Before." Copy the output into your solutions. i) Based on the p-value from the output produced in part (h), state the decision you would make in this hypothesis test. Provide a reason for this decision in one sentence. j) State your conclusion in the context of this hypothesis test. Give your answer in context in one or two sentences. k) Comment in one sentence if you believe your conclusions are accurate based on your interpretation in part (g). l) Provide at least one confounding variable that may have had an effect on this study's results in one sentence.