1. A) If the one-sigma (68% confidence interval) error bars of the values of two

Question

1. A) If the one-sigma (68% confidence interval) error bars of the values of two experimental measurements overlap, what can you say about the difference between the values?
A. The difference is statistically significant, which means that it is probably not caused by experimental error but by a real difference between the true values.
B.The difference is not statistically significant, which means that it is probably due to experimental error and not to a real difference between the true values.
C. Nothing definite can be said about the difference until the two-sigma error bars are examined.

B) If the two-sigma (95% confidence interval) error bars of the values of two experimental measurements overlap, what can you say about the difference between the values?
A. Nothing definite can be said about the difference until the one-sigma error bars are examined.
B. The difference is not statistically significant, which means that it is probably due to experimental error and not to a real difference between the true values.
C The difference is statistically significant, which means that it is probably not caused by experimental error but by a real difference between the true values.

C) If the estimated value of a property with no known uncertainty (and therefore no error bars) lies outside of the two-sigma (95% confidence interval) of an experimental measurement of that property, what can you say about the difference between the values?
A. Nothing definite can be said about the difference until the one-sigma error bars are examined.
B. The difference is statistically significant, which means that it is probably not caused by experimental error but by a real difference between the true values.
C. The difference is not statistically significant, which means that it is probably due to experimental error and not to a real difference between the true values

Explanation / Answer

1. A) If the one-sigma (68% confidence interval) error bars of the values of two experimental measurements overlap, what can you say about the difference between the values?

Answer: B.The difference is not statistically significant, which means that it is probably due to experimental error and not to a real difference between the true values.

2) If the two-sigma (95% confidence interval) error bars of the values of two experimental measurements overlap, what can you say about the difference between the values?

Answer: B. The difference is not statistically significant, which means that it is probably due to experimental error and not to a real difference between the true values.

3) If the estimated value of a property with no known uncertainty (and therefore no error bars) lies outside of the two-sigma (95% confidence interval) of an experimental measurement of that property, what can you say about the difference between the values?

Answer: B. The difference is statistically significant, which means that it is probably not caused by experimental error but by a real difference between the true values.

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