The temperature of a certain solution is estimated by taking a large number of independent measurements and averaging them. The estimate is 37°C, and the uncertainty (standard deviation) in this estimate is 0.1°C. a) Find a 95% confidence interval for the temperature. b) What is the confidence level of the interval 37 ± 0.1°C? 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? d) Making the additional assumption, compute a 95% confidence interval for the temperature if 10 measurements were made.

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