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A bottling machine can be regulated so that it discharges an average of ounces per bottle....

A bottling machine can be regulated so that it discharges an average of ounces per bottle. It
has been observed that the amount of fill (Y) dispensed by the machine is normally distributed with sigma = 1 ounce. If
Y1, Y2, ..., Y16 is a random sample from the output of the machine on a given day (all bottled with the same machine setting). (a) What is the mean of barY? i.e. µ = ? (b) What is the standard deviation of barY? i.e. sigma =? (c) Find the probability that the sample mean (barY ) will be within 0.3 ounce of the true mean (population mean) µ for the chosen machine setting.

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