EXCEL MINITAB TI-84 PLUS TECHNOLOGY Technology 123 Extended solutions are given in the technology manuals that accompany this text. Technical instruction is provided for Minitab, Excel, and the TI-84 Plus. According to data from the city of Toronto, Ontario, Canada, there were nearly 112,000 parking infractions in the city for December 2020, with fines totaling over 5,500,000 Canadian dollars. The fines (in Canadian dollars) for a random sample of 105 parking infractions in Toronto, Ontario, Canada, for December 2020 are listed below. (Source: City of Toronto) 30 250 100 40 30 30 100 30 30 50 100 100 30 30 100 100 30 30 100 30 30 30 30 40 50 50 40 50 40 50 30 30 30 30 30 30 40 100 150 30 50 40 50 30 60 40 30 40 150 50 100 30 50 100 40 30 30 30 30 100 150 30 150 30 50 50 50 30 50 30 30 40 30 40 30 100 50 30 40 30 50 50 30 30 50 40 30 50 40 30 30 30 40 30 100 100 30 50 30 50 30 40 150 30 30 In Exercises 1–5, use technology. If possible, print your results. 1. Find the sample mean of the data. 2. Find the sample standard deviation of the data. 3. Find the five-number summary of the data. 4. Make a frequency distribution for the data. Use a class width of 15. 5. Draw a histogram for the data. Does the distribution appear to be bell-shaped? 6. What percent of the distribution lies within one standard deviation of the mean? Within two standard deviations of the mean? Within three standard deviations of the mean? 7. Does it make sense to estimate the answers for Exercise 6 using the Empirical Rule? If so, compare the estimates to your answers. If not, explain why. 8. Does it make sense to estimate the answers for Exercise 6 using Chebychev’s Theorem? If so, compare the estimates to your answers. If not, explain why. 9. Use the frequency distribution in Exercise 4 to estimate the sample mean and sample standard deviation of the data. Do the formulas for grouped data give results that are as accurate as the individual entry formulas? Explain. 10. Writing Do you think the mean or the median better represents the data? Explain your reasoning. EXERCISES The figures above show parking infractions in Toronto, Ontario, Canada, for December 2020 by time of day and by day. Parking Tickets (Source: City of Toronto) 4:00 A.M.– 7:59 A.M. 10.4% Parking Infractions by Time of Day 8:00 P.M.– 11:59 P.M. 7.1% 12:00 A.M.– 3:59 A.M. 22.4% 4:00 P.M.– 7:59 P.M. 12.6% 12:00 P.M.– 3:59 P.M. 23.9% 8:00 A.M.– 11:59 A.M. 23.6% (Source: City of Toronto) Number of infractions Day Sunday 8,000 10,000 12,000 6,000 4,000 2,000 1 8 15 22 29 Parking Infractions by Day
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