Question 1161496
half interval is z(0.975)*sigma/sqrt(n)
=1.96*9.8/sqrt(37)
=3.16
so the interval is (111.84, 118.16), adding and subtracting to and from the mean.
Because 110 is not in the interval, one rejects the claim.  If 110 were in the claim, then we would be 95% confident that the true number could be 110, which is claimed.