The average size of a home in 2003 was 2313 square feet according to the National Association of Home Builders and reported in USA Today Snapshots (November 27, 2004). The homebuilders of a northeastern city believe that the average size of homes continues to increase each year. To test their claim, a random sample of 39 new homes was selected; they revealed an average of 2476 square feet. Assuming that the population standard deviation is approximately 458 square feet, is there evidence that the average size has increased since the 2003 figure? Use ? = .05 level of significance
(a) Find z. (Give your answer correct to two decimal places.)
(ii) Find the p-value. (Give your answer correct to four decimal places.)