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Lerok
2 months 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:
babunello [11.8K]2 months ago
7 0

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.

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2 months ago
The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions
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Step-by-step explanation:

We are dealing with a rectangle. The formula for the perimeter is:

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