A statistician at a metal manufacturing plant is sampling the thickness of metal plates. If an outlier occurs within a particula

Question

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A statistician at a metal manufacturing plant is sampling the thickness of metal plates. If an outlier occurs within a particula

r sample, the statistician must check the configuration of the machine. The distribution of metal thickness has mean 23.5 millimeters (mm) and standard deviation 1.4 mm. Based on the two-standard deviations rule for outliers, which is the greatest thickness that would require the statistician to check the configuration of the machine?

Mathematics

1 answer:

babunello [11.8K] · Answer 1 · 2026-02-17T21:06:52+03:00

Answer: 26.3 mm

Step-by-step explanation:

The two-standard deviations rule for outliers states that any value lying outside two standard deviations from the average is considered an outlier.

Given that the Mean is 23.5 millimeters (mm) and the standard deviation is 1.4 mm

The maximum thickness that should be reviewed = mean + 2 (standard deviation)

= 23.5 + 2(1.4)

= 23.5 + 2.8

= 26.3 mm

therefore, the maximum thickness warranting machine configuration review by the statistician = 26.3 mm.