MATH 1342 Elementary Statistical Methods Lab 1 - Frequency Distributions and Graphs Name ______________________________ Critical Thinking; Communication Skills; Empirical/Quantitative Skills This lab involves making an informed decision based on a subjective comparison. We will consider the important issue of car crash fatalities. Car crash fatalities are devastating to the families involved and they often involve lawsuits and large insurance payments. Listed below are the ages of 100 randomly selected drivers who were killed in car crashes. Also given is a frequency distribution of licensed drivers by age. Table 1 Table 2 Ages in years of drivers killed in car crashes 37 76 18 81 28 29 18 18 27 20 18 17 70 87 45 32 88 20 18 28 17 51 24 37 24 21 18 18 17 40 25 16 45 31 74 38 16 30 17 34 34 27 87 24 45 24 44 73 18 44 16 16 73 17 16 51 24 16 31 86 19 52 35 18 18 69 17 69 65 57 45 23 18 56 77 18 73 26 58 24 17 30 16 17 36 42 Age Number of licensed drivers (in millions) 16-19 9.2 20-29 33.6 30-39 40.8 40-49 37.0 38 50-59 24.2 28 38 60-69 17.5 16 20 22 70-79 12.7 21 21 29 51 80-89 4.3 18 76 53 27 1.1 Convert the given frequency distribution in Table 2 to a relative frequency distribution. 1.2. Create a relative frequency distribution for the ages of drivers killed in car crashes in Table 1. Use the same class limits as in Table 2. 1.3. Compare the two relative frequency distributions. Which age categories appear to have substantially greater proportions of fatalities than the proportions of licensed drivers? 1.4. Construct a side-by-side bar graph that is effective in identifying age categories that are more prone to fatal car crashes. (see page 70 of the textbook for an example) 1.5. Write a report that compares the two relative frequency distributions. Include which age categories appear to have substantially greater proportions of fatalities than proportions of licensed drivers. This report should be written from the context of an insurance company and their reason for MATH 1342 Elementary Statistical Methods Lab 1 - Frequency Distributions and Graphs Name ______________________________ Critical Thinking; Communication Skills; Empirical/Quantitative Skills setting higher auto insurance rates for these age categories. Use complete sentences and proper grammar. 2.1. During our semester in statistics, we will be studying inferential statistics. In chapter 1, we learned the basic premises behind inferential statistics. Write a sentence or two summarizing inferential statistics in your own words. 2.2 The inferential statistics that we will cover in our class will all be parametric statistics. Parametric statistics require that certain requirements about the distribution must be met by the sample data values. We have learned some different distributions in chapter 2. Sketch and name the FOUR different distributions that we have learned. 2.3. We have also learned that the mean and the median can give us hints about the distribution of our data. Explain how the different distributions typically affect the mean and the median. Be certain to include the words \"resistant\" and \"non-resistant\" in your explanation. Use the following data sets in problems #4 - #6. Data Set 1: A genetic study was performed on the number of armored plates found on stickleback fish. A random sample of 40 stickleback fish showed the following number of plates: 42 64 62 9 12 62 50 12 27 11 65 64 63 21 49 62 43 65 51 62 12 21 62 62 66 9 64 12 63 10 54 21 61 9 20 63 45 57 60 62 Data Set 2: It has been hypothesized that the body temperature of healthy adult humans is normally distributed. A random sample of 25 healthy adults resulted in the following body temperatures: 98.5 98.6 97.8 98.9 97.9 99 98.2 98.7 98.8 99 98 99.2 99.5 99.4 98.3 99.1 98.4 97.6 97.4 97.7 97.5 98.8 98.6 99.3 98.4 2.4. For each of the data sets, calculate the mean and median. Based on the mean and median, what is the most likely distribution of each data set? 2.5. Construct a boxplot for EACH data set. 2.6. Do the graphs in #5 support your answers to #4? Justify your answer using a complete sentence(s) and proper grammar