Summary statistics for 10 drivers' car insurance premiums quoted by a local agent and an online company are shown in the table to the right. The accompanying table have displays for each company's quotes and for the difference (Local - Online). Complete parts a through c. Variable Count Mean StdDev Local 10 799.200 229.281 Online 10 753.300 259.267 PriceDiff 10 45.9000 175.663 Click the link to view the display of the boxplot and histogram for insurance premiums. X Graph/chart a) Which of the summaries would help you decide whether the online company offers cheaper insurance? Why? The data are shown in the table below. Choose the correct answer below. Local Online PriceDiff O A. The histogram would help because the spread of the data is important. 568 391 177 872 602 270 O B. The boxplot would help because the difference in price is important. 451 488 - 37 O C. The boxplot would help because the spread of the data is important. 1229 903 326 605 677 - 72 O D. The histogram would help because the difference in price is important. 1021 1270 - 249 783 703 80 b) The standard deviation of PriceDiff is quite a bit smaller than the standard deviation of prices quoted by either the local or online companies. Discuss why. 844 789 66 907 1008 101 Choose the correct answer below. 712 702 10 O A. Some of the values of PriceDiff are negative. 1250 3 O B. Insurance cost is based on risk, so drivers are likely to see similar quotes from each company, making the differences smaller, which leads to a smaller standard deviation. O C. Subtracting two random variables reduces the standard deviation. 1000 N c) Using the information you have, discuss the assumptions and conditions for inference with these data. Premium ($) # of Premiums Select all the assumptions and conditions for inference with these data below. 750 A. There are no assumptions or conditions needed for these data. B. The price quotes are paired. 500 C. The price quotes are from a random sample. -400 -200 0 200 Local Online D. The histogram of differences looks approximately Normal. Price Diff ($) 1 E. The price quotes are fewer than 10% of the agent's customers