Fuel Consumption and Cars An automobile manufacturer lists several specifications for every one of its cars. For example, the length, width, wheelbase, turning circle, curb weight, and interior room measurements are readily available to customers. The acceleration time from 0 to 60 miles per hour (in seconds) for 10 cars is given in the table below.
|
2.5
|
2.8
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3.0
|
3.5
|
3.4
|
3.7
|
3.9
|
4.1
|
4.7
|
5.1
|
a. Use a computer or calculator to draw 30 random samples of size 3 without replacement, and compute the standard deviation for each sample.
b. Construct a histogram of the sample standard deviations.
c. Use the histogram to describe the shape of the sampling distribution.
d. Compute the population standard deviation. Find an approximate mean of the sampling distribution. How do these two numbers compare?