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# The stiffness of a certain type of steel beam used in ISBN: 9780073401331 38

## Solution for problem 10SE Chapter 4

Statistics for Engineers and Scientists | 4th Edition

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Problem 10SE

The stiffness of a certain type of steel beam used in building construction has mean 30 kN/mm and standard deviation 2 kN/mm.

a. Is it possible to compute the probability that the stiffness of a randomly chosen beam is greater than 32 kN/mm? If so, compute the probability. If not, explain why not.

b. In a sample of 100 beams, is it possible to compute the probability that the sample mean stiffness of the beams is greater than 30.2 kN/mm? If so, compute the probability. If not, explain why not.

Step-by-Step Solution:

Step 1 of 3:

Given the stiffness of a certain type of steel beam used in building construction has mean 30 kN/mm and standard deviation 2 kN/mm .

Step 2 of 3:

a). It is not possible to compute the probability the stiffness of a randomly chosen beam is greater than  32 kN/mm. Because we don't have any distribution to compute this probability, but only mean and standard deviation.

Step 3 of 3

##### ISBN: 9780073401331

Since the solution to 10SE from 4 chapter was answered, more than 290 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The full step-by-step solution to problem: 10SE from chapter: 4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: compute, Probability, stiffness, beam, sample. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “The stiffness of a certain type of steel beam used in building construction has mean 30 kN/mm and standard deviation 2 kN/mm.a. Is it possible to compute the probability that the stiffness of a randomly chosen beam is greater than 32 kN/mm? If so, compute the probability. If not, explain why not.________________b. In a sample of 100 beams, is it possible to compute the probability that the sample mean stiffness of the beams is greater than 30.2 kN/mm? If so, compute the probability. If not, explain why not.” is broken down into a number of easy to follow steps, and 88 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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