2. [49.61 Points] DEVORESTATS 7.2.019. ASK YOUR TEACH ER An article reported that, in a study ofa particular wafer inspection process, 356 dies were examined by an inspection probe and 232 of these passed the probe. Assuming a stable process, calculate a 95% (two-sided) condence interval for the proportion of all dies that pass the probe. (Round your answers to three decimal places.) ( , ) You may need to use the appropriate table in the Appendix of Tables to answer this question. Sub Answer ' 3. [49.61 Points] DEVORESTAT9 5.4.046. ASK YOUR TEACH ER Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and smndard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article "Inuence of Material Properties Variability on Springback and Thinning in sheet Stamping Processes: A Stochastic Analysis" (Intl. J. ofAdvanced Manuf. Tech, 2010: 117134)). (a) If)? is the sample mean Young's modulus for a random sample ofn = 16 sheets, where is the sampling distribution of)? centered, and what is the standard deviation of the )_(distribution? 50?) = GPa = GPa (b) Answer the questions posed in part (a) for a sample size ofn = 64 sheets. 50?) GPa a; = GPa (c) For which of the two random samples, the one of part (a) or the one of part (b), is )7 more likely to be within 1 GPa of 70 GPa? Explain your reasoning. O X is more likely to be within 1 GPa of the mean in part (a). This is due to the decreased variability othhat comes with a smaller sample size. 0 )7 Is more likely to be within 1 GPa of the mean In part (b) This is due to the increased variability of)_(that comes with a larger sample size. 0 7 is more likely to be within 1 GPa of the mean in part (b). This is due to the decreased variability ofithat comes with a larger sample size. 0 )7 is more likely to be within 1 GPa of the mean in part (a). This is due to the increased variability tin(that comes with a smaller sample size