Suppose a report indicates that the surveyed distance between two points is 1200 feet.
Part A: If this is all of the information you have about the surveyed distance, what might a reader think the measurement error is?
Part B: The error in the measurement is actually ±0.1 feet. Explain how the distance might have been reported in a way that better indicates the true accuracy of the measurement.

Respuesta :

The required answers are:

Part A: There is no sufficient information for a reader to think about the measurement error.

Part B: Since the margin of error in the measurement is given as ±0.1 feet, the maximum, and minimum distances are calculated. They indicate the true accuracy of the measurement.

How to calculate the minimum and maximum values?

The minimum and maximum values are calculated from the confidence interval.

C.I = mean ± margin of error

So, the minimum value = mean - margin of error and

the maximum value = mean + margin of error

Calculation:

The given report indicates that the surveyed distance between two points is 1200 feet.

So, mean = 1200

And it is given that the error in the measurement is ±0.1 feet

Then,

The minimum distance = 1200 - 0.1 = 1199.9 feet

The maximum distance = 1200 + 0.1 = 1200.1 feet

Thus, knowing the error in the measurement indicates the true accuracy of the measurement.

Learn more about the margin of error here:

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