Question

A car manufacturer crash tests a certain model of car and measures the impact force. The test and model in question produce impact forces that are normally distributed with a mean of 30 metric tons and a standard deviation of 1.5 metric tons. Suppose that the manufacturer tests a random sample of 3 cars and calculates the sample mean impact force. What will be the shape of the distribution of the sample mean?

a.Skewed to the left
b.Skewed to the right
c.Approximately normal
d.Unknown, we don’t have enough information to determine the shape

Answer 1

c.Approximately normal

Explanation:

The manufacturer had done some test and the result is that the impact forces of the car are normally distributed. Since the sample of the test will be the same kind of car, then the distribution type of the sample will be normal too. Normal distribution will not be skewed to right or left, the data will look like a symmetrical bell shape.