Question

1. Find the appropriate measure of center. Discuss why the chosen measure is most appropriate. Why did you decide against other possible measures of center? 2. Find the appropriate measure of variation. The measure of variation chosen here should match the measure of center chosen in Part 1. 3. Find the graph(s) needed to appropriately describe the data. These may be done by hand and inserted into the Word document. You can also use Excel or a Web Applet to create a Histogram of the chosen data. Graphs can be copied and pasting onto the template. 4. Define the random variable (X) so that your chosen data set represents values of X. 5. Is your chosen random variable discrete or continuous? Explain how you know. 6. Would the Normal or Binomial distribution be a good fit for the underlying sample distribution of X? If one of them is a good fit, state how you would approximate the distribution parameters (Use the mean and standard deviation of the data chosen) 7. If you selected column D, calculate the probability that a flight will depart early or on-time. If you selected column E, calculate the probability that a flight will arrive early or on time using the empirical definition of probability. 8. If you selected column D, calculate the probability that a flight will depart late. If you selected column E, calculate the probability that a flight will arrive late using the empirical definition of probability. 9. For those that selected column D, assume now that the random variable X = Departure Time is exactly normally distributed with mean m= -2.5 and standard deviation s= 23. Compute the probability of a flight arriving late based on this new information. For those that selected column E, assume now that the random variable X = Arrival Time is exactly normally distributed with mean m= -2.5 and standard deviation s= 23. Does this contradict your answer from Part 8? Data: 0 -3 0 -7 8 -1 3 11 -6 -5 -8 -4 -13 -13 -11 -14 -16 -14 -18 -18 -23 -23 2 1 -4 -6 7 -8 -8 -4 -4 -5 -13 -9 -12 -7 -12 1 4 -19 -13 -19 3 12 13 2 0 0 4 -7 8 9 -1 -10 -6 -12 -14 -13 9 -15 -13 -14 20 -16 11 -14 18 -19 -3 -4 0 -3 2 6 6 -6 1 11 -7 -10 -13 9 -13 -18 -17 -11 -20 -18 8 0 -20 -3 1 -1 -4 -6 -5 -8 -10 -9 -6 8 -9 -12 -15 -14 -9 -17 -13 -17 2 -18 -18 -16 1 -4 0 -5 7 -7 -7 -5 0 5 -6 -12 1 6 -10 -15 -18 -16 -17 0 -21 -18 5 1 3 -2 -1 -2 -3 4 3 -11 9 -11 -11 0 -11 17 -10 -11 0 -19 -18 0 8 -23 3 -3 -4 -6 0 2 -1 -9 -9 4 1 -9 -12 0 0 -11 -14 -19 -17 -13 23 8 21 3 4 -2 1 6 7 -9 -3 1 -9 -5 -11 -6 -6 -10 -13 -9 -17 -6 -20 1 -21 -22 -2 0 -4 -3 3 -5 -6 -3 -5 -8 -12 -10 -7 -16 1 -14 -14 -16 -7 13 -17 -16 7 0 1 1 4 1 -8 -5 -9 0 -4 8 -7 -14 7 -8 5 4 8 21 3 11 2 -23 0 4 3 2 0 -1 -7 5 3 8 12 -12 -15 -11 -7 17 -15 -13 -17 -21 4 -19 -24 3 0 4 0 -2 -8 -5 6 5 1 -12 -14 7 8 -16 -11 -17 -20 10 4 -14 -22 -22 -3 -4 2 -4 -2 0 6 -6 2 -9 -3 -10 -13 7 -10 -12 -13 -16 -20 1 -14 -21 -17 3 -1 -1 0 -2 -7 -4 0 11 3 -11 -12 -11 -8 -13 -16 -16 7 2 -21 3 9 0 3 0 -5 -3 -3 -3 -3 -4 9 0 -8 -10 12 5 -16 -16 -13 -13 3 -19 0 -20 2 -3 -2 3 5 -1 -8 -3 -7 -11 -7 -10 12 -12 -8 17 -9 -18 -17 -14 1 -13 -21 -22 -2 -3 3 -3 -2 -7 -5 -10 -8 -6 -13 11 -11 -16 -9 -13 -12 -13 -16 -10 -20 -19 -22 -1 -4 2 4 -3 -8 4 -3 -7 -11 -13 2 -13 -12 -15 3 -17 -10 3 0 -19 -20 -20 0 0 -5 -4 -3 -5 -1 -8 -7 -2 13 11 -10 -12 -15 -14 -17 -18 6 12 6 -19 -20 0 -1 -5 -1 4 6 3 8 0 -11 -8 -14 -13 -11 3 -7 -11 10 -19 -20 -21 0 3 0 -4 0 2 -6 -7 -6 -7 8 -12 -2 -13 -7 9 -15 -14 -14 -17

Answer 1

The solution of the given first and second problem is given below:

This is the required logical solution of the given first two problem.