Answer
Not normal
Work Step by Step
We know the following equation for z-scores:
$z=\frac{x-\mu}{\sigma}$
Thus, after finding the standard deviation and average using a calculator, we use this equation to see that the coordinates (x,z) are:
$(1051,-.89);(1067,-.49);(1070,-.16);(1079,.16);(1079,.49);(1173,.89);(1272,1.53)$
After we use this to create the normal quantile plot, we see if the data are in a straight line. In this case, since the data are not in a straight line, we see that the distribution is not normal.