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It is known that the standard deviation in the volumes of 20-ounce (591-millliliter) bottles of natural spring water bottled by a particular company is 5 millliliters. One hundred bottles are randomly sampled and measured.

a. Calculate the standard error of the mean.

b. Find the margin of error of a 90% confidence interval estimate for the population mean volume.

c. Calculate the width for a 98% confidence interval for the population mean volume.

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