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Using confidence interval concepts, it is found that the margin of error is of 7.
[tex]M = \frac{b - a}{2}[/tex]
In this problem, the interval is (32, 46), hence [tex]b = 46, a = 32[/tex], and the margin of error is:
[tex]M = \frac{46 - 32}{2} = 7[/tex]
The margin of error is of 7.
A similar problem is given at https://brainly.com/question/25704940