Statistics statistical data.
ï‚· Organize data for analysis in the form of graphs, tables, and frequency distributions. ï‚· Calculate statistical data for measures of central tendency and dispersion. ï‚· Investigate dispersion through normal distributions using range, mean, standard deviation, and zscores. ï‚· Measure location, variation, probabilities, distributions, and expectations. [Adapted from œReal Statistics “ Real Decisions, Pg 221 of Larson, Elementary Statistics, 4th Edition.] Deadline Due by Saturday at 11:59 pm, ET. Directions The Air Transport Association of America (ATA) is a support organization for the principal U.S. airlines. Some of the ATA’s activities include promoting the air transport industry and conducting industry-wide studies. The ATA also keeps statistics about commercial airline flights, including those that involve accidents. From 1977 through 2006 for aircraft with 10 or more seats, there were 91 fatal commercial airplane accidents involving U.S. airlines. The distribution of these accidents is shown in the histogram at the right. 1. Opening Paragraph “ With every Weekly Case Study, you will begin by writing an opening paragraph where you will summarize the statistical concepts you have learned this week and describe how you plan to integrate those concepts into this task. 2. In 2006, there were about 11 million commercial flights in the United States. If one is selected at random, what is the probability that it involved a fatal accident? 3. Is a binomial distribution a good model for determining the probability of various numbers of fatal accidents during a year? Explain your reasoning and include a discussion of the four criteria for a binomial experiment. Make sure you clearly think through each criterion. 4. Suppose that the probability of a fatal accident in a given year is 0.0000004. Construct a binomial distribution for n = 11,000,000 and p = 0.0000004 (from above) as well as p = 0.0000008 with x = 0 to 12. x P(X = x) P = 0.0000004 P(X = x) P = 0.0000008 0 1 2 3 . . . 5. Using p = 0.0000004 in the above table, what is the probability that there will be: (a) exactly 4 fatal accidents in a year? (b) 10 fatal accidents? (c) between 1 and 5, inclusive? 6. According to analysis by USA TODAY, air flight is so safe that a person œwould have to fly every day for more than 64,000 years before dying in an accident. How can such a statement be justified? Please include at least one reference to an outside scholarly source (see Supplemental Syllabus for examples). 7. Metacognition “ thinking about thinking and learning. Please write a short paragraph (two to five sentences) explaining how you will utilize the learning and thinking processes developed this week in future assignments. In your reflection, not only address what worked, but what did not work and why. How will you modify and hone your approach for next week?