Finally, this week is also National Tick Prevention Week. Treating a home to prevent ticks costs a mean amount of $350 with a standard deviation of $75. If we survey 12 homes to check how much they paid for tick treatment, what would we expect the standard error of the average price to be? Assuming that the standard error for a sample of 20 homes is $15, what would be the probability that the average price for tick treatment is less than $330 (for a sample of 20 homes)