Question

Assume that a researcher is interested in the relationship between hours of sleep and anxiety. Eight individuals are randomly selected and the amount of hours slept and anxiety scores are measured. The scores are reported in the following table. Calculate the correlation coefficient. Use α = .05 to conduct a hypothesis test on correlation.

Hours of sleep	Anxiety score
5.5	55
6	47
8	45
7.25	50
8.5	35
7	39
8.75	39
9	36

*SHOW WORK FOR THIS PROBLEM

1) H₁: ρ  , H₀: ρ  

2) r critical value =  *DO NOT ROUND

3) r =  *ROUND TO FOUR DECIMALS

4)  (RTN or FTR)

5) What is the effect size for this relationship?  *ROUND TO FOUR DECIMAL

Answer 1

Let denotes the true correlation coefficient between hours of sleep and anxiety score.

5. effect size