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 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) A USE SALT (a) Calculate P(74 SXS 76) when n= 16. (b) How likely is it that the sample mean diameter exceeds 76 when n = 36?

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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 GPa, respectively. Suppose the distribution is normal. (Round your answers to four
decimal places.)
n USE SALT
(a) Calculate P(74 <XS76) when n = 16.
(b) How likely is it that the sample mean diameter exceeds 76 when n = 36?
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) n USE SALT (a) Calculate P(74 <XS76) when n = 16. (b) How likely is it that the sample mean diameter exceeds 76 when n = 36? You may need to use the appropriate table in the Appendix of Tables to answer this question.
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