The Loudness of a Sound (Measured in Decibels DB)

question 104

Multiple Choice

The loudness of a sound (measured in decibels dB) is inversely proportional to the square of the distance from the source of the sound. Suppose a person who is 3 ft from a hair dryer experiences a sound level of 75 dB. Find the proportionality constant and write the equation that expresses the inverse proportionality.

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Definitions:

Population Variance

The variance computed for the entire population, reflecting the spread of all values in that population.

Sample Standard Deviation

A measure of the dispersion or variability in a sample dataset, quantifying the amount of variation or spread of data points.

Unbiased Estimator

An unbiased estimator is a statistical estimator that, on average, equals the parameter being estimated, ensuring accuracy over many samples.

Population Standard Deviation

A measure that quantifies the amount of variation or dispersion of a set of data values in a population.