Question: A machine producing washers is found to produce washers whose variance is 30 in2. (a) A sample of 36 washers is taken and the mean

A machine producing washers is found to produce washers whose variance is 30 in2.

(a) A sample of 36 washers is taken and the mean diameter, X is found. Find the probability that X is within 0.1 units of ????, the true mean diameter.

(b) How large a sample is necessary so that the probability X is within 0.2 units of

???? is 0.90?

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