Zillow.com contains several hundred postings for two‑bedroom apartments in your city. A random sample of 𝑛=16 postings from Zillow.com resulted in a standard deviation of $276. If a new study was being planned with 𝑠𝑔=280 and the desired 95% margin of error is $100, how many postings need to be sampled? Determine the minimum appropriate value.
(Give your answer as a whole number.)