Answer
Yes, see explanations.
Work Step by Step
a. State the hypotheses and identify the claim.
$H_o: \mu=1229$
$H_a: \mu\ne1229$ (claim, two tailed test)
b. Find the critical value(s).
$\alpha=0.05, |z_c|=1.645$
c. Compute the test value.
$z=\frac{1350-1229}{250/\sqrt {15}}=1.87$
d. Make the decision.
Since $z\gt z_c$ we have enough evidence to reject the null hypothesis and support the claim.
e. Summarize the results
At $\alpha = 0.05$, we can conclude that the monthly rent outside San Francisco differs from that in the city.