Concept explainers
To find: the gasket should be thrown out.
Answer to Problem 27E
The gasket of weight 0.53 pound should be thrown.
Explanation of Solution
Given information:
An auto parts manufacturer throws out gaskets with weights that arc not within 0.06 pound of the mean weight of the batch. The weights of the gasket in a batch are 0.58, 0.63, 0.65, 0.53, and 0.61.
Calculation:
The mean weight of the gaskets is,
Let the weight of gasket is
The weight should be within 0.06 pound of the mean weight.
Thus, the inequality can be written as,
Solve the inequality first by writing
Add 0.6 to each side,
The gaskets which have weight beyond this range should be thrown.
The weight which is not in the range is 0.53 pound.
Therefore, the gasket of weight 0.53 pound should be thrown.
Chapter 2 Solutions
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