Again, use the information given in question 18. This time, assume that the sample standard deviation is $28,000. Construct a 95 % confidence interval for the mean home price. What happens to the size of the confidence interval?

Question 18

A real estate agent in Connecticut is interested in the mean home price in the state. A random sample of 50 homes shows a mean home price of $175,622 and a sample standard deviation of $37,221. Construct a 95 % confidence interval for the mean home price.