Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.1-in and a standard deviation of 1.2-in. In what range would you expect to find the middle 68% of most head breadths? Between  and . If you were to draw samples of size 53 from this population, in what range would you expect to find the middle 68% of most averages for the breadths of male heads in the sample? Between  and .

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.1-in and a standard deviation of 1.2-in.

In what range would you expect to find the middle 68% of most head breadths?
Between  and .

If you were to draw samples of size 53 from this population, in what range would you expect to find the middle 68% of most averages for the breadths of male heads in the sample?
Between  and .

Enter your answers as numbers. Your answers should be accurate to 2 decimal places.

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