Q: What would it mean If the sampling error was zero?

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The sum will be zero or close to zero, depending on how the sampling was done. See related question.

The scale doesn't start at zero, so you need to compromise or you get a systematic error.

There can't be a negative zero. zero is neither negative nor positive.

This means there is absolutely no mistake in the data given.

Take a measurement with nothing in the gauge. That reading is the zero-error.

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The sampling error is the error one gets from observing a sample instead of the whole population. The bigger it is, the less faith you should have that your sample represents the true value in the population. If it is zero, your sample is VERY representative of the population and you can trust that your result is true of the population.

Yes, it could.

I believe you are considering the sampling error as calculated from data. I will give you some examples: If you get the exactly same response from all participants in a survey, you will calculate zero sampling error. For example, if I ask 10 people if Obama Barack is the President of the US, I would probably get 10 "yes" responses. Now the answer was well known, so I would expect very few "no" response. If your measurements are not very sensitive or are recorded with a lack of precision, then there can be zero sampling error. For example, I take the body temperature of students at the college and consider any temperature from 97 to 99 degree F to be normal. I find all students in my sample have normal temperatures. So, zero sampling error can occur because a) sample is small, b) variation in response is either non-existent or very small. In theoretical calculations, where sample error is based on the probability distribution of the population, one can calculate for discrete variables, the probability that a sample error will be zero.

The sum will be zero or close to zero, depending on how the sampling was done. See related question.

A zero error in an instrument occurs when the instrument does not read zero when there is no input or measurement applied to it. This can lead to inaccuracies in measurements as the instrument's zero point is not aligned correctly. Zero errors need to be corrected to ensure accurate readings.

The scale doesn't start at zero, so you need to compromise or you get a systematic error.

There can't be a negative zero. zero is neither negative nor positive.

This means there is absolutely no mistake in the data given.

we can find the zero error by closing the jaw of screw guage if the zero of main scale(MS) is concide with the zero of circular scale (CS) there is no zero error and if they are not concide there is a zero error in screw guage .

The zero error of vernier calliper is defined as :-The zero error is equal to the distance between the zero of the main scale and the zero of the vernier scale.

if the zero of vernier scale lies on the right side of the zero of the main scale , then error is known as a positive error .

IT means when torque is not zero even at zero power factor?? are you in IPU??