A Researcher Wishes to Find Out Whether There Is a Dependable

question 2

Short Answer

A researcher wishes to find out whether there is a dependable relationship between the severity of earthquakes and temperature for the 7 days immediately preceding the quake. A sample of 10 measured earthquakes was randomly selected from those recorded since 1965. For each area both the Richter value (higher value meaning more severe quakes) and the mean temperature for the 7 days preceding the quakes were recorded. The data follow: $$\begin{array} { l c l } \text { Area } & \text { Richter Scale Value } & \text { Mean Temperature } \\\text { A } & 8.0 & 65 \\\text { B } & 7.0 & 67 \\\text { C } & 4.9 & 70 \\\text { D } & 6.5 & 66 \\\text { E } & 5.0 & 65 \\\text { F } & 5.5 & 60 \\\text { G } & 5.0 & 63 \\\text { H } & 4.5 & 64 \\\text { I } & 5.0 & 65 \\\text { J } & 2.0 & 65\end{array}$$ Neither distribution appears to be skewed.
-If rejected, state the level of significance.

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Definitions:

Relative Risk

A measure in epidemiology that compares the risk of a health event among one group with the risk among another group.

Sample Proportion

A statistical measure that represents the proportion of success or a particular attribute in a sample.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter, giving an estimate of the uncertainty around the main measurement.

Population Proportions

Ratios or fractions that represent parts of a whole for specified groups within a population.