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 90 GPa and 2.3 GPa, respectively. Suppose the distribution is normal. (Round your ansvwers to four decimal plac A USE SALT (a) Calculate P(89 sXs 91) when n- 16. (b) How likely is it that the sample mean diameter exceeds 91 when n- 36? You may need to use the appropriate table in the Appendix of Tables to answer this question.

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