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Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and

Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are

75

GPa and

1.9

GPa, respectively. Suppose the distribution is normal.

(

Round your answers to four decimal places.

)

)

Calculate P

(74 < =

< = 76)

when n

= 16

(

)

How likely is it that the sample mean diameter exceeds

76

when n

= 25 ?

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