The initial temperature of a certain container is measured to be T₀= 20?C. The ambient temperature is measured to be T_a= 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

Assume that the temperature measurements T₀ and T_a?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?

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To T = 40 1n То — Та 10 — Та