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Aluminium rivets produced by Rivets Foerever Inc are believed to have shear strengths that are sidributed...

Aluminium rivets produced by Rivets Foerever Inc are believed to have shear strengths that are sidributed about a mean of 13.75mm with a standard deviation of 2.4mm. b (a) What is the distribution of the mean sheer strenghts of a randomly selected sample of 85 rivets? What theorem does this distribution rely on? (b) Suppose we randomly select 20 rivets only (in contrast to the 85 in pat (a)). Are we able to determine the distribution of the mean sheer strenghts of the rivets in this case? Explain. (c) What is the probability that the mean sheer strenghts of a randomly selected sample of 85 rivets is between 13.3mm and 14.3mm?

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