Answer
Not significant
Work Step by Step
Mean = $\frac{6.47 + 7.51 + 10.10+13.63+9.91}{5}$ = 9.524
The z value is the sample mean decreased by mean and divided by the deviation.
z = $\frac{x-u}{o/\sqrt n}$ = $\frac{9.524 - 8}{2/\sqrt 5}$ = 1.7
P = 2P(Z < -1.7) = 2(.0446) = .0892