Question 1147388
this is a z test
for first part, z=(x-mean)/sd, and that is between -4/7.7672 or -0.51 and z=3/7.7672 or +0.39.  That probability is 0.3467


z=(x bar- mean)/sd/sqrt(n)
lower z is > (9-13)*8/7.7672, moving sqrt (64)=8 to numerator.
That is z >-4.12
upper z is 3*8/7.7672
that is z>3.09
that probability with those z constraints is 0.9990.