Question

An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 44 and σ = 5.0. What is the yield strength (ksi) for A36 grade steel?

Answer 1

The yield strength for A36 grade steel can be determined using the given information about the normal distribution with mean μ = 44 and standard deviation σ = 5.0. By using z-scores, we can find the corresponding values for the yield strength.

Step-by-step explanation:

The yield strength for A36 grade steel can be determined based on the given information about the normal distribution of yield strength with a mean of μ = 44 and a standard deviation of σ = 5.0.

Since the yield strength is normally distributed, we can use z-scores to find the corresponding values. The formula for calculating the z-score is:

z = (x - μ) / σ

Substituting the values for μ and σ, we get:

z = (x - 44) / 5.0

Solving for x, we have:

x = (z * 5.0) + 44

Therefore, the yield strength for A36 grade steel can be calculated by plugging in a specific value for z and solving for x using this formula.