1. In a test of a particular weight loss program, weights of 40 subjects are recorded before and after the program. The before-and-after weights result in a correlation coefficient of 0.876. Assuming a 0.05 significance level, find the critical values. Is there sufficient evidence to support the claim of a linear correlation between before-and-after weights? (1 point)

Critical values = ±0.312; there is sufficient evidence to support a claim of a linear correlation between before and-after weights.
Critical values = ±0.312; there is not sufficient evidence to support a claim of a linear correlation between before-and-after weights.
Critical values = ±0.402; there is sufficient evidence to support a claim of a linear correlation between before and-after weights.
Critical values = ±0.402; there is not sufficient evidence to support a claim of a linear correlation between before-and-after weights.

2. The heights (in inches) of a sample of eight mother/daughter pairs of subjects were measured. Using a spreadsheet with the paired mother/daughter heights, the linear correlation coefficient is found to be 0.693. Find the critical value, assuming a 0.05 significance level. Is there sufficient evidence to support the claim that there is a linear correlation between the heights of mothers and the heights of their daughters? (1 point)
Critical value = 0.707; there is not sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.
Critical value = 0.707; there is sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.
Critical value = 0.666; there is not sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.
Critical value = 0.666; there is sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.

3. A sample contains 10 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.01 significance level. (1 point)
0.765
0.632
0.798
0.684