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5· The hardness of a certain alloy (measured on the Rockwell scale) is a random variable X. Assume that this hardness is normally distributed with true standard deviation ơ-0.75. A sample of 20 alloys was taken and the average hardness was found to be 4.85 Compute a 95% confidence interval for the true hardness of this certain alloy. What sample size is necessary to estimate true average hardness within 0.2 with 90% confidence? b.

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