A psychologist would like to evaluate the relationship between husband's happiness scores (X) and wives' happiness scores (Y) in a marriage. Compute the Pearson correlation for the data below. If needed, round your results to 3 decimals.

Couple	X	Y
A	3	8
B	8	2
C	5	6
D	6	2
E	6	5
F	8	7

1. Conduct afullhypothesis testing

a. Compute and enterSP(10pts).For full credit, makesure (1) show your computations whenever necessary, (2) write youranswers for each of the following:

• n
• X
• Y
• XY
• SP

b. Compute and enter the Pearson correlation coefficient (6pts).Make sure to show (1) your computations and (2) your answers for:

• SS_X
• SS_Y
• r

c. Describe (1) the direction and (2) the strength of the correlation (2pts)

d. Are the results significant for a two-tailed testwith=.05?For full credit, specify (1) the critical boundary and (2) state your decision(2pts)