A company manufactures wheels for in-line skates. The diameters of the wheels have a mean of 3 inches and a standard deviation o

Question

2 years ago

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A company manufactures wheels for in-line skates. The diameters of the wheels have a mean of 3 inches and a standard deviation o

f 0.1 inches. Because so many of their customers use the metric system, the company decided to report their production statistics in millimeters They report that the standard deviation is now 2.54 mm. A corporate executive is worried about this increase in variation. Should he be concerned

Mathematics

1 answer:

notka56 [123] · Answer 1 · 2022-09-05T03:11:23+03:00

Answer: He should not be concerned

Step-by-step explanation:

The variation is still the same and has not changed because the only thing that changed are the units. A unit change does not mean that the diameter has changed, only the method of measuring it has changed.

Absolutely speaking, the diameter is still the same. A standard deviation of 0.1 inches is the same as a standard deviation of 2.54mm so the executive should not be worried.