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An engineer at an automobile company measured tensile strength of a metallic bar to be 62 kilograms. Standard deviation based on this sample will be 0 kilograms.

a) True
b) false

1 Answer

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Final answer:

The standard deviation cannot be zero if the sample size is not zero.

Step-by-step explanation:

b) False

The given statement is false. The standard deviation cannot be zero if the sample size is not zero. The standard deviation measures the spread or variability of data, so it cannot be zero when there is data involved. In this case, if the engineer measured the tensile strength of a metallic bar to be 62 kilograms, it means there was at least one observation, which means there was a sample size greater than zero. Therefore, the standard deviation based on this sample will not be zero.

User Dmitry Shechtman
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