The amount of water in a bottle is approximately normally distributed with a mean of 2.70...

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The amount of water in a bottle is approximately normally distributed with a mean of 2.70 liters with a standard deviation of 0.025 liter. Complete parts (a) through (e) below. a. What is the probability that an individual bottle contains less than 2.68 liters? 212 (Round to three decimal places as needed.) b. If a sample of 4 bottles is selected, what is the probability that the sample mean amount contained is less than 2.68 liters? .055 (Round to three decimal places as needed.) c. If a sample of 25 bottles is selected, what is the probability that the sample mean amount contained is less than 2.68 liters? (Round to three decimal places as needed.) The amount of water in a bottle is approximately normally distributed with a mean of 2.70 liters with a standard deviation of 0.025 liter. Complete parts (a) through (e) below. a. What is the probability that an individual bottle contains less than 2.68 liters? 212 (Round to three decimal places as needed.) b. If a sample of 4 bottles is selected, what is the probability that the sample mean amount contained is less than 2.68 liters? .055 (Round to three decimal places as needed.) c. If a sample of 25 bottles is selected, what is the probability that the sample mean amount contained is less than 2.68 liters? (Round to three decimal places as needed.)

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To solve the given problems well use the normal distribution and the properties of the sample mean Lets calculate the probabilities step by step a Pro... View the full answer