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Problem: A particular manufacturing design requires a shaft with a diameter between 19.89 mm and 20.012 mm. the manufacturing process yields shafts with diameters normally distributed, with a mean of 20.005 mm and a standard deviation of 0.004 mm. complete parts (a) through (c).
a. For this process what is the proportion of shafts with a diameter between 19.89 mm and 20.00 mm?
Give critical test statistic and compute sample test statistic. Test null hypothesis at alpha level .01.
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