Solve the Problem $\varepsilon$ Of a Particular Thermoplastic Can Be Modeled Approximately by the Can

question 241

Multiple Choice

Solve the problem.
-The elasticity $\varepsilon$ of a particular thermoplastic can be modeled approximately by the relation $\varepsilon = \frac { 2.5 \times 10 ^ { 5 } } { \mathrm {~T} ^ { 2.3 } }$ , where $\mathrm { T }$ is the Kelvin temperature. If the thermometer used to measure $\mathrm { T }$ is accurate to $1 \%$ , and if the measured temperature is $478 \mathrm {~K}$ , how should the elasticity be reported?

• A) \(\varepsilon = \pm 0.004\)
• B) \(\varepsilon = 0.172 \pm 0.002\)
• C) \(\varepsilon = 0.172 \pm 0.004\)
• D) \(\varepsilon = 0.172\)

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Definitions:

Sampled Population

The segment of the population from which the sample is taken for the purpose of a statistical study.

Population Mean

The average value of a population attribute or variable, calculated by summing all values in the population and dividing by the total number of values.

T Distribution

This type of probability distribution comes into play when attempting to estimate the mean of a normally distributed population, specifically when dealing with a small sample size and lacking knowledge of the population's standard deviation.

Degrees Of Freedom

The number of values in a calculation that are free to vary, often related to the sample size, affecting the shape of various statistical distributions.