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s2008m [1.1K]
2 years ago
13

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:
lorasvet [3.4K]2 years ago
7 0

Answer: 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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a. We're looking for a such that

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b. Integrating with respect to y will make things easier.

y=\dfrac1{x^2}\implies x=\dfrac1{\sqrt y}

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Now we want to find b such that

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