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
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