A. The scatter plot is in the attachment
B. correlation coefficient is r = 0.8142
c. Hypothesis is Null: There is no significant correlation between hours worked and number of injuries.
alternative: There is a significant correlation between hours worked and number of injuries.
d. we have to reject the null hypothesis
How to solve for the values
X Values
∑ = 193
Mean = 38.6
∑(X - Mx)2 = SSx = 87.2
Y Values
∑ = 17
Mean = 3.4
∑(Y - My)2 = SSy = 41.2
X and Y Combined
N = 5
∑(X - Mx)(Y - My) = 48.8
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 48.8 / √((87.2)(41.2)) = 0.8142
Meta Numerics (cross-check)
r = 0.8142
Critical value = 0.669.
since r is larger than 0.669. we have to reject the null hypothesis