Question

You test 8 automobiles of the same make and model and find their mileage ratings to be 25, 25, 26, 27, 30, 31, 32, and 1,000,000 mpg, arranged in order from smallest to largest. If you use inferential statistics (and reject the outlier) to predict what mileage consumers can expect when they buy this type of car, what value will you predict?

Answer 1

28 mpg is the average so that is what they should expect.

Answer 2

mileage consumers can expect when they buy this type of car is:

28

Explanation:

We are given the ratings of 8 automobiles as:

25 25 26 27 30 31 32 1000000.

Clearly the data set is arranged in the ascending order.

Clearly from the data set we could see that the rating 1000000 is an outlier because it is a different and a much higher value as compared to the other data points.

Now after removing the outlier we get the points as:

25 25 26 27 30 31 32

Now, the average mileage from these cars will be equal to the mean:

`Mean=(25+25+26+27+30+31+32)/(7)\\\\Mean=(196)/(7)\\\\Mean=28`

hence, mileage consumers can expect when they buy this type of car is:

28