Problem 4E

The initial temperature of a certain container is measured to be T0 = 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

Assume that the temperature measurements T0 and Taare unbiased and come from normal populations with standard deviation 0.1°C.

a. Generate an appropriate simulated sample of values T*. Is it reasonable to assume that T is normally distributed?

b. Use the simulated sample to estimate the standard deviation of T.

c. 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.

September 20, 2016 Lecture 9 – Sunlight, Color, and Temperature - 4 Processes driven by Sunlight o 1. Warms Ocean o 2. Reflects out o 3. Photosynthesis o 4. Evaporation 1. Warms Ocean - Direct vs. Indirect Heating o Direct energy reaches the ground in a concentrated form Energy concentrated Direct sunlight o Indirect energy is spread out when it reaches the ground Energy spread out Indirect sunlight o Equator is warmer than the poles because of the angle at which the sun hits it 2. Reflects Out - Why Is Seawater Blue o Blue light is reflected, other colors are absorbed