In Exercise 17, we saw summary statistics for 10 drivers' car insurance premiums quoted by a local agent and an online company. Here are displays for each company's quotes and for the difference {Local €” Online):

In Exercise 17

a) Which of the summaries would help you decide whether the online company offers cheaper insurance? Why?
b) The standard deviation of Price Diff is quite a bit smaller than the standard deviation of prices quoted by either the local or online companies. Discuss why.
c) Using the information you have, discuss the assumptions and conditions for inference with these data.

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3 1250 1000 2 -400 -200 0 200 Local Online Price Diff (s) StdDev Variable Count Local Online PriceDiff 10 10 10 Mean 799.200 229.281 753.300 256.267 45.9000 175.663 Local Online PriceDiff 568 391 872 602 451 488 1229 903 605 677 1021 1270 783 703 844 789 907 1008 712 702 270 37 326 72 249 80 101 10