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# 21.21A social scientist wishes to determine whether there is a relationship

__21.21 __

A social scientist wishes to determine whether there is a relationship

between the attractiveness scores (on a 100-point scale) assigned to college students by a panel of peers and their scores on a paper-and-pencil test of anxiety.

The data is quantitative since they are based on attractiveness scores and anxiety scores.

Suppose a number of students are selected. A social scientist wishes to determine whether there is a relationship between attractiveness scores (on a 100-oint scale) and their scores on a paper-and-pencil test of anxiety. We have 3 groups or 3 observations on each student and the observations are paired and hence not independent.

Therefore, apply the t-test for the population correlation coefficient in testing whether there is any relation between the paired observations of the attractiveness scores. And their scores on a paper-and-pencil test of anxiety. Assume the relationship between the 2 variables can be described with a straight line and that the sample originates from a normal bivariable population in applying the t-test for a single correlation coefficient.

__t ____for a correlation coefficient__

Observational study, no manipulation of variables. Compare data.