Question: 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
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 standard error 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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