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

26.3 mm

Step-by-step explanation:

According to the two-standard deviations rule for outliers, the values that does not lie within 2 standard deviations from mean are outliers.

If Mean = 23.5 millimeters (mm) and standard deviation =  1.4 mm

Then, greatest thickness need to check = mean + 2 (standard deviation)

= 23.5 + 2(1.4)

= 23.5 + 2.8

= 26.3 mm

hence, the greatest thickness that would require the statistician to check the configuration of the machine = 26.3 mm.

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