Carrots entering a processing factory have an average length of 14.2 cm, and standard deviation of 5.2 cm. If the lengths are approximately normally distributed, What is the maximum length ( correct up to at least 3 decimal places) of the shortest 5 % of the lot?

Carrots entering a processing factory have an average length of 14.2 cm, and standard deviation of 5.2 cm. If the lengths are approximately normally distributed, what is the maximum length (correct up to at least 3 decimal places) of the shortest 5% of the lot?

Learn how to find the maximum length of the shortest 5% of carrots in a processing factory given a normal distribution with a mean length of 14.2 cm and a standard deviation of 5.2 cm. This problem explores key statistical concepts such as normal distribution, Z-scores, and percentiles, suitable for students in Grades 10-12.

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