A statistics instructor wants to examine the relationship between the hours a student spends studying for the final exam (Hours) and a student's grade on the final exam (Grade). She takes a sample of five students.

Student. x(hours) y(grades)

1 8 75

2 2 47

3 3 50

4 15 88

5 25 93

x

= 10.6

y

= 70.6

s_x= 9.6s_y= 21.2s_xy= 186.8

a. Compute the sample correlation coefficient.

b. Specify the competing hypotheses to determine whether the hours spent studying and the final grade are correlated.

c. Calculate the value of the test statistic and approximate the correspondingp-value.

d. At the 10% significance level, what is the conclusion to the test? Explain.