The stiffness of a certain type of steel beam used in building construction has mean 30

Chapter 4, Problem 10

(choose chapter or problem)

The stiffness of a certain type of steel beam used in building construction has mean

\(30 \mathrm{kN} / \mathrm{mm}\) and standard deviation \(2 \mathrm{kN} / \mathrm{mm}\).

a. Is it possible to compute the probability that the stiffness of a randomly chosen beam is greater than \(32 \mathrm{kN} / \mathrm{mm}\)? 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 \(30.2 \mathrm{kN} / \mathrm{mm}\)? If so, compute the probability. If not, explain why not.

Equation Transcription:

Text Transcription:

30 kN/mm

2 kN/mm

32 kN/mm

30.2 kN/mm

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