Question: Insurance company rates the fire insurance depend on the distance that a home is from the nearest fire department. A progressive community claims that the average home in its town is within 5.5 miles of the nearest fire department and the standard deviation of the distance is known to be 2.4 miles. To against the claim, the insurance company took a random sample of 64 home which yields an average of 5.8miles. Construct a 95% confidence interval for the average distance a home is from the nearest fire department.