Explanation

Correct Answer: B (5.25)

For a parametric test of correlation, assuming the variables are normally distributed, the t-statistic is calculated as:

$t = \frac{r \sqrt{n - 2}}{\sqrt{1 - r^2}}$

Where:

• $r$ is the sample correlation coefficient (0.6).
• $n$ is the sample size (51).

Substituting the values:

$t = \frac{0.6 \times \sqrt{51 - 2}}{\sqrt{1 - 0.6^2}} = \frac{0.6 \times 7}{\sqrt{1 - 0.36}} = \frac{4.2}{0.8} = 5.25$

Why Not A or C?

• A (0.07): This incorrect result occurs if the numerator and denominator are swapped in the formula.
• C (6.64): This arises if the correlation coefficient $r$ is not squared in the denominator, leading to an incorrect calculation.