Solve the Problem

question 30

Essay

Solve the problem.
-The data shows the roundtrip mileage that 43 randomly selected professors and students drive to school each day. Compare the results and determine whether there appears to be any significant difference between the two groups. $$\begin{array}{l}\begin{array} { c | c } \text { Score } & \text { Frequency } \\\hline 10 - 14 & 2 \\15 - 19 & 5 \\20 - 24 & 13 \\25 - 29 & 17 \\30 - 34 & 6\end{array}\\\\\begin{array} { c | c } \text { Score } & \text { Frequency } \\\hline 10 - 14 & 0 \\15 - 19 & 6 \\20 - 24 & 9 \\25 - 29 & 21 \\30 - 34 & 7\end{array}\end{array}$$

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Definitions:

Social Facilitation

The tendency for people to perform tasks better or more efficiently in the presence of others.

Margin of Error

The degree of inaccuracy or the range within which the true value is expected to lie in statistical surveys, reflecting the confidence in the results.

P-value

A statistical measure that helps determine the significance of results obtained in research, indicating the probability of observing the results by chance under a null hypothesis.

Correlation Coefficient

A statistical measure that describes the size and direction of a relationship between two variables, ranging from -1 to +1.