A random sample of the following two variables was obtained:

x 29 48 28 22 28 42 33 26 48 44 y 16 46 34 26 49 11 41 13 47 16

a. Calculate the correlation between these two variables.

b. Conduct a test of hypothesis to determine if there exists a correlation between the two variables in the population. Use a significance level of 0.10.