Choose one of the attached data sets and analyze using the techniques discussed in class up to this point. This includes: 1. Finding the appropriate measure of center. Discuss why the chosen measure is most appropriate. Why did you decide against other possible measures of center? The most appropriate measure of center is the median. It is because though mean is commonly used the data is a skewed distribution. So median is most appropriate in that case. Mean is most affected by extreme values so it cannot be used in the skewed distribution. time M = -2.5 S = 23 Late arrivals are positive numbers i.e. more than 0 - Late arrival > 0. Z score for the value of ‘>0’ at a given mean and the standard deviation = 0.1087 (X- (-2.5))/23 = 0.1087 X = 0.1087 * 23 - 2.5 X = 2.5001-2.5 X = 0.0001 This contradicts the result in part 8. The probability of a late arrival was ascertained as 0.36 in art 8 and it is determined to be 0.0001 in this step (i.e. part 10) using the z score. [...]
Description Choose one of the attached data sets and analyze using the techniques discussed in class up to this point. This includes: 1.Finding the appropriate measure of center. Discuss why the chosen measure is most appropriate. Why did you decide against other possible measures of center? 2.Finding 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. 4.Define a 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. 7.Calculate the probability that a flight will depart early or on-time. 8.Calculate the probability that a flight will arrive late. 9.Calculate the probability that a flight departs late or arrives early. 10.Assume now that the random variable X=Arrival 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. Does this contradict your answer from Part 8?