3 The Environmental Protection Agency (EPA) performs extensive tests on all new

Question

3 The Environmental Protection Agency (EPA) performs extensive tests on all new car models to determine their mileage ratings. One hundred units of a new car model were tested and the results in miles/gallon are presented in a table in the Excel file.

a. Compute the mean, median, and mode of the data set.

b. Compute the range, variance, and standard deviation of the data set.

c. What is the 80th percentile of the data set? What is the meaning of this value?

d. The histogram and Normal probability plot for the data are presented in the Excel file. The p-value for the normal probability plot is 0.228. Does the assumption that the car mileage is normally distributed seem reasonable? Explain your answer.

Explanation / Answer

a. mean = 36.994

median = 37

mode = 37

b. Range = 14.9

Variance = 5.846

Standard deviation = 2.418

c. 80th percentile is 38.84. This means 80% of the data lies below 38.84.

d. p value of the plot is 0.228.

We can say with a chance of error of 5% that the data follows Normal distribution.

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