A car manufacturer crash tests a certain model of car and measures the impact force. The...
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
Homework Answers
From the given information
X:- impact force produced
X follows normal distribution with mean 30 and standard deviation of 3
n=3
As we know that when random sample is drawn from normal population then sample mean always follows normal distribution irrespective with sample size.
Shape of the distribution of the mean is appropriatly normal.
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