Not everyone pays the same price for the same model of a car. The figure illustrates a normal distribution for the -99.7%- -95%- -68%- prices paid for a particular model of a new car. The mean is $22,000 and the standard deviation is $2000. Use the 68-95-99.7 Rule to find what percentage of buyers paid between $18,000 and $22,000. 16 18 20 22 24 26 Price of a Model of a New Car (Thousands) The percentage of buyers who paid between $18,000 and $22,000 is %. (Type an exact answer.) Number of Car Buyers

Based on the given information, prices paid is normally distributed with mean $22,000 and standard deviation $2,000. By empirical rule, Approximately 68% of the data values lie within 1 standard deviation on each side of the mean. Approximately 95% of the data values lies within 2 standard deviations on each side of the mean. Approximately 99.7% of the data values lies within 3 standard deviations on each side of the mean Empirical rule may also write in following ways: For a normal distribution, the empirical rule (50-34-14% Rule) state that 50% of the observations falls above the mean value, 34% of the observations falls in between the mean value and 1 standard deviation above the mean, 13.5% of the observations falls in between 1 and 2 standard deviations above the mean, and 2.5% of the observations falls above 2 standard deviations of mean respectively. The percentage of buyers who paid between $18,000 and $22,000 is obtained as follows: The score $18,000 is 2 standard deviation below the mean. From the given information, 34% of the observations falls in between the mean value and 1 standard deviation below the mean, 13.5% of the observations falls in between 1 and 2 standard deviations below the mean. Thus, the percentage of buyers who paid between $18,000 and $22,000 is 34%+13.5%=47.5%. Therefore, the percentage of buyers who paid between $18,000 and $22,000 is 47.5%.