(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: μ = ? σ = ? 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?
(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: μ = ? σ = ? 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?
Solution Summary: The author identifies the values of " " and determines which values are parameters and which are statistic.
(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:
μ
=
?
σ
=
?
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?
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
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