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Standard deviation of the strengths

Specifications for an aircraft bolt require that the ultimate tensile strength be at least 18 kN. It is known that 10% of the bolts have strengths less than 18.3 kN and that 5% of the bolts have strengths greater than 19.76 kN. It is also known that the strengths of these bolts are normally distributed.

a. Find the mean and standard deviation of the strengths.

b. What proportion of the bolts meet the strength specification?

18,76,764

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## Q : Z-score corresponding

For a population with a mean of µ = 60 and a standard deviation of ? = 24, find the z-score corresponding to each of the following samples