Consider the following random sample of n = 17 used car prices, (given in thousands of dollars): 15, 18, 12, 23, 35, 17, 25, 20, 21, 26, 25, 17, 31, 28, 22, 17, 9 Suppose that a $2,000 environment tax was applied to these prices. Which of the following statements is correct? AJ The mean and variance would both increase by $2,000. B) The mean and standard deviation would both increase by $2,000. The mean would increase by $2,000, but the standard deviation and variance would remain unchanged. D More than one of these statements are correct. The following histograms (a, band c) show three distributions. 15 20 25 20 35 40 45 50 95 60 68 15 20 25 21 15 40 45 50 15 60 45 70 15 20 25 30 35 40 45 50 65 60 65 70 b The computer output given below shows the mean, median, and standard deviation of the three distributions, plus the mean, median, and standard deviation for a 4th distribution (that is not shown). 1. Count: 100 2. Count: 100 Mean: 42.65 Mean: 47.90 Median: 42.50 Median: 50.00 Std Dev: 20.9434 Std Dev: 14.6023 3. Count: 100 4. Count: 100 Mean: 52.10 Mean: 42.40 Median: 50.00 Median: 42.50 Std Dev: 14.5475 Std Dev: 10.8361 Which of the following is the correct matching of histogram to summary statistics? A) a = 1, b = 2, c =4 B) a = 4, b = 2, c=1 a = 4, b = 3, c = 1 DJ a = 1, b = 3, c=4