A little help with statistics please?

Question

Given a sample with r = 0.823, n = 10, and α = 0.05, determine the standardized test statistic t necessary to test the claim ρ = 0. Round answers to three decimal places.

And

Given the length of a human's femur, x, and the length of a human's humerus, y, would you expect a positive correlation, a negative correlation, or no correlation?

Question 1 answers

Answer 1

For this one, it's best to just use the formula and believe it works:

t = r/sqrt((1-r^2)/(n-2))

t = 0.823/sqrt(1-0.823^2)/(10-2))

t = 0.823/sqrt(0.32267/8) = 0.0823/0.201 = 4.098

The critical value of t for two tailed, alpha=.05, df=10-2=8 (from a student's t distribution table): 2.306

Since t is greater than the critical value, reject the null hypothesis (that presumes rho is zero) and presume that rho is not 0.

For the second, a femur is a leg bone, and a humerus is an arm bone. Do people with longer leg bones tend to have longer arm bones, shorter arm bones, or does it make no difference?