A beverage company uses a machine to fill one-liter bottles with water (see figure). Assume the population of volumes is normally distributed.

Error tolerance = 1 mL

(a) The company wants to estimate the mean volume of water the machine is putting in the bottles within 1 milliliter. Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 3 milliliters.

(b) Repeat part (a) using an error tolerance of 2 milliliters.

(c) Which error tolerance requires a larger sample size? Explain.

Transcribed Image Text:

Fresh ring ater