1. According to a certain website, the average rent in Syracuse in 2019 was $851. A student wishes to know if the rents have changed. A random sample of 20 apartments yields a mean of $888.5 and a standard deviation of $119.38. Assume the rents are approximately normally distributed. Can the student conclude that the mean rent has changed at the 10% level?
2. According to a certain website, the average rent in Binghamton in 2019 was $829. An employer wishes to know if the rents have increased. A random sample of 99 apartments yields a mean of $868.2 and a standard deviation of $50.11. Can the employer conclude that the mean rent has increased at the 1% level?