The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) compute the z-score corresponding to the individual who obtained 42.342.3 miles per gallon. interpret this result.

The z- score corresponding to the individual who obtained 42.3 miles per gallon is 0.9474 which indicates that it is 0.9474 standard deviations below the mean.

Step-by-step explanation:

From the data set attached below;

Let consider that the random  variable X as the miles per gallon driven by cars with a three cylinders, 1.0 liter engine.

The mean of the data set can then be calculated as :

    =

    = 38.88

The standard deviation is calculated by the formula:

   =

   =  3.61

The z score corresponding to the value x = 42.3 can be calculated as:

z = 0.9474

The z- score corresponding to the individual who obtained 42.3 miles per gallon is 0.9474 which indicates that it is 0.9474 standard deviations below the mean.

x + 4/7

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