A vending machine company must adjust its machines to accept
only quarters with specified weights.
a) How many quarters must be tested if we want to be 99% confident
that the sample mean is within 0.025 grams (g) of the true
population mean for all coins used in the vending machines? Assume
σ =0.068 g.
b) A random sample of 50 quarters yields a mean weight of 5.622 g
and a standard deviation of 0.068 g. Based on this sample;
construct a 99% confidence interval estimate of all quarters in
circulation
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