Q.6.1 Experience has shown that the diameter of a machined component is normally distributed, with an average diameter (u) of 165mm, and a standard deviation (o) of 2.5mm. A sample of 77 components is randomly selected. Q.6.1.1 Determine the standard error for this sample. Q.6.1.2 What is the probability that the mean diameter of the components in the sample will lie between 164.25mm and 164.75mm? Interpret your answer.

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