Write the Word or Phrase That Best Completes Each Statement $f ( x ) = 32.1 + 1.2 \log ( x + 1 )$

question 423

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
-Suppose $f ( x ) = 32.1 + 1.2 \log ( x + 1 )$ models salinity of ocean water to depths of 1000 meters at a certain latitude. $x$ is the depth in meters and $f ( x )$ is in grams of salt per kilogram of seawater. Approximate the depth (to the nearest tenth of a meter) where the salinity equals 34 .

• A) \(37.3 \mathrm {~g} / \mathrm { kg }\)
• B) \(39.3 \mathrm {~g} / \mathrm { kg }\)
• C) \(- 1.0 \mathrm {~g} / \mathrm { kg }\)
• D) \(- 0.9 \mathrm {~g} / \mathrm { kg }\)

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Definitions:

Null Hypothesis

In statistics, it's the hypothesis that there is no effect or no difference, and it is tested against an alternative hypothesis.

Mean Difference

The average difference between two sets of numbers or measurements, often used to compare the means from two samples.

T-distribution

A type of probability distribution that is symmetric and bell-shaped, but with heavier tails, used especially in scenarios with smaller sample sizes.

Degrees of Freedom

The number of independent pieces of information available to estimate another piece of information or parameters in a dataset.