A quality assurance officer ensures that their soft drink product adheres to the stated quantity of 350 ml. The records show that the mean soft drink content is 351.2 ml with a standard deviation of 5.9 ml. A random sample of 40 bottles was randomly chosen. What is the probability that the sample mean is less than the required amount? Express your answer in decimal form, rounded off into four (4) decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A quality assurance officer ensures that their soft drink product adheres to the stated quantity of 350 ml. The records show that the mean soft drink content is 351.2 ml with a standard deviation of 5.9 ml. A random sample of 40 bottles was randomly chosen. What is the probability that the sample mean is less than the required amount? Express your answer in decimal form, rounded off into four (4) decimal places.

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