The initial temperature of a certain container is measured to be To = 20°C. The ambient temperature is measured to be Ta = 4°C. An engineer uses Newton's law of cooling to compute the time needed to cool the container to a temperature of 10°C. Taking into account the physical properties of the container, this time (in minutes) is computed to be T = 401n 10 – T Assume that the temperature measurements To and T, are unbiased and come from normal populations with standard deviation 0.1 °C. Generate an appropriate simulated sample of values T*. Is it reasonable to assume that T is normally distributed? a. b. Use the simulated sample to estimate the standard deviation of T. If appropriate, use the normal curve to find a 95% confidence interval for the time needed to cool the container to a temperature of 10°C. C.

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