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 80 GPa and 2.5 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) ЛUSE SALT (a) Calculate P(79 ≤ X ≤ 81) when n = 9. (b) How likely is it that the sample mean diameter exceeds 81 when n = 25?

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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 standard deviation are 80 GPa and 2.5 GPa,
respectively. Suppose the distribution is normal. (Round your answers to four decimal places.)
ЛUSE SALT
(a) Calculate P(79 ≤ X ≤ 81) when n = 9.
(b) How likely is it that the sample mean diameter exceeds 81 when n =
25?
Transcribed Image Text: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 80 GPa and 2.5 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) ЛUSE SALT (a) Calculate P(79 ≤ X ≤ 81) when n = 9. (b) How likely is it that the sample mean diameter exceeds 81 when n = 25?
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