# The temperature of a certain solution is estimated by taking a large number of independent measurements and averaging them. The estimate is 37C, and the uncertainty (standard deviation) in this estimate is 0.1C. a. Find a 95% confidence interval for

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?

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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## a X 37 and the uncertainty is s X s n 0 1 A 95 confidence interval is 37 1 96 0 1 or …View the full answer

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