The mean price of houses in the us is $383,500. a real estate agent believes the mean price of houses in a local neighborhood is less than the national mean. the agent takes a random sample of 30 houses and finds the mean price to be $295,089 with a standard deviation of $156,321. do the data provide convincing evidence at the level that the mean price of the houses in the area is less than $383,500?
are the conditions for inference met?