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 2.5 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) n USE SALT (a) Calculate P(74 s X S 76) when n = 16. (b) How likely is it that the sample mean diameter exceeds 76 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 75 GPa and
2.5 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.)
n USE SALT
(a) Calculate P(74 < X < 76) when n = 16.
(b) How likely is it that the sample mean diameter exceeds 76 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 75 GPa and 2.5 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) n USE SALT (a) Calculate P(74 < X < 76) when n = 16. (b) How likely is it that the sample mean diameter exceeds 76 when n = 25?
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