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The diameter of the moon is independently measured four times by a process that

ID: 3158876 • Letter: T

Question

The diameter of the moon is independently measured four times by a process that is free of bias. The individual measurements come out 2157, 2166, 2162, and 2155 miles, which average out to 2160 miles. One more measurement is about to be taken using the same process. When compared with the estimate of 2160 miles, you would expect this next measurement to be:

A. more accurate as a measure of the true diameter of the moon.

B. just as accurate at measuring the true diameter of the moon.

C. less accurate as a measure of the true diameter of the moon.

Pick one and explain.

Explanation / Answer

Ans (B) just as accurate at measuring the true diameter of the moon because we took the average of 4 measurements if we take another measurement we will get around the average value and it may not be too high or too lower than average value so we will get just as acuurate as observing the measurements we can conclude this.