Chapter 9, Problem 17SE

(Example 5) Age of Used Vans The mean age of all 118 used Toyota vans for sale (see exercise $9.16$ ) was $3.1$ years with a standard deviation of $2.7$ years. The distribution of ages is right-skewed. For a statistics project, a student randomly selects 35 vans from this data set and finds the mean of the sample is $2.7$ years with a standard deviation of $2.1$ years.

a. Find each of these values: $\mu =?\sigma =?\bar{x}=?s=?$

b. Which of the values listed in part a are parameters? Which are statistics?

c. Are the conditions for using the CLT fulfilled? What would be the shape of the approximate sampling distribution of a large number of means, each from a sample of 35 vans?