Concept explainers
(a)
To find out what is the shape of the sampling distribution and why.
(a)
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Answer to Problem R10.1RE
It is approximately normal.
Explanation of Solution
It is given in the question that:
It is safe to assume that the sampling distribution of
Thus, we have,
We note that all the conditions are met, which implies that the sampling distribution of
(b)
To find the
(b)
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Answer to Problem R10.1RE
The mean is
Explanation of Solution
It is given in the question that:
The mean of the sampling distribution of
Thus the mean is
(c)
To calculate and interpret the standard deviation of the sampling distribution.
(c)
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Answer to Problem R10.1RE
The difference between Nathan’s state and Kyle’s state in the sample proportion of cars made by the American manufacturers varies on average by
Explanation of Solution
It is given in the question that:
The mean of the sampling distribution of
The standard deviation of
Thus, we conclude that the difference between Nathan’s state and Kyle’s state in the sample proportion of cars made by the American manufacturers varies on average by
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