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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 5.10 - Problem 4e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 5.10 - Problem 4e

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# The initial temperature of a certain container is measured

ISBN: 9780073401331 38

## Solution for problem 4E Chapter 5.10

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition

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Problem 4E

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.

Step-by-Step Solution:
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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

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##### ISBN: 9780073401331

The answer to “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.” is broken down into a number of easy to follow steps, and 135 words. The full step-by-step solution to problem: 4E from chapter: 5.10 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: temperature, container, sample, assume, standard. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 4E from 5.10 chapter was answered, more than 293 students have viewed the full step-by-step answer.

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