4. An experiment carried out twice produces the following results: 12±2 9 ± 3. Calculate the weighted mean result and its uncertainty. What are the 90% confidence limits. on the weighted mean? (By x% confidence limits we mean the (usually symmetric) boundaries within which x% of the area falls. Hint: 11.645 exp (−z²/2) dz = 0.90.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4. An experiment carried out twice produces the following results:
12±2
9 ± 3.
Calculate the weighted mean result and its uncertainty. What are the 90% confidence limits.
on the weighted mean? (By x% confidence limits we mean the (usually symmetric) boundaries
within which x% of the area falls. Hint: 11.645 exp (−z²/2) dz = 0.90.)
Transcribed Image Text:4. An experiment carried out twice produces the following results: 12±2 9 ± 3. Calculate the weighted mean result and its uncertainty. What are the 90% confidence limits. on the weighted mean? (By x% confidence limits we mean the (usually symmetric) boundaries within which x% of the area falls. Hint: 11.645 exp (−z²/2) dz = 0.90.)
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