Answer
Not normal
Work Step by Step
We know the following equation for z-scores:
$z=\frac{x−μ}{σ}$
Thus, after finding the standard deviation and average using a calculator, we use this equation to see that the coordinates (x,z) are:
(1051,−0.89);(1067,−0.49);(1070,−0.16);(1079,0.16);(1079,0.49);(1173,0.89);(1272,1.53)
After we use this to create the normal quantile plot, we can see if the data are in a straight line. In this case, the data are not in a straight line, hence we can see that the distribution is not normal.