The temperature of a certain solution is estimated by taking a large number of
Chapter 5, Problem 17(choose chapter or problem)
The temperature of a certain solution is estimated by taking a large number of independent measurements and averaging them. The estimate is \(37^{\circ} \mathrm{C}\), and the uncertainty (standard deviation) in this estimate is \(0.1^{\circ} \mathrm{C}\).
Find a 95% confidence interval for the temperature.
What is the confidence level of the interval \(37 \pm 0.1^{\circ} \mathrm{C}\)?
If only a small number of independent measurements had been made, what additional assumption would be necessary in order to compute a confidence interval?
Making the additional assumption, compute a 95% confidence interval for the temperature if 10 measurements were made.
Equation Transcription:
Text Transcription
37°C
0.1°C
37 \pm 0.1°C
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