Question

Statistics Investigative Task 1 Driver Deaths You work for a life insurance company. Your boss has assigned you the task of reviewing recent records concerning vehicle size and driver death rate. Your boss wants to know if the type of automobile a client drives should impact the cost of his or her life insurance policy. You found the status report published on June 9, 2011 by the Insurance Institute for Highway Safety for driver deaths. Rates are driver deaths per million registered vehicles. The rates below have already been adjusted with additional information (driver age, gender, and vehicle density) obtained from the Highway Loss Data Institute. Write a report to your boss including: o appropriate comparative plots and summary statistics; o descriptions of the driver death ratings for each group of automobiles; a comparison of driver death ratings for the three sizes of automobiles; o your recommendation to your boss about your company's insurance policies. O INSURANCE INSTITUTE FOR HIGHWAY SAFETY (www.iihs.org) AUTOMOBILE DRIVER DEATH RATES (2005-2008 models) 4-Door Cars Model Rate SUVs Model Pickup Trucks Model Rate Rate

Answer 1

Sol:

Here, we have to see the descriptive statistics for the driver death rates for three different types of vehicles such as four door cars, SUVs and Pickup Trucks. The descriptive statistics for the driver death rates for these three types of vehicles are summarised in the following table:

Descriptive Statistics
	N	Minimum	Maximum	Mean	Std. Deviation
4 Door Cars Model	20	19.00	117.00	60.7500	23.04201
SUVs	16	.00	72.00	29.2500	20.05492
Pickup Trucks	16	20.00	126.00	54.3125	28.19153

From the above table, it is observed that the average death rate for four door cars model (60.75) is greater than the SUVs (29.25) and Pickup Trucks (54.3125). The variation or standard deviation is more for the Pickup trucks than SUVs and four door car models. The comparison of these three models by using the box plot is given as below:

16 o 125 100 75- 50 25 4 Door Cars Model SUVs Pickup Trucks

From these box plots it is observed that the distributions for the given three models are skewed at left side. The average death rate for four door cars model is highest among three types. Also, it is observed that there is an outlier exists in the data for Pickup trucks.