A local builder claims that the average cost of building a home in the Southeast is $111.42 per square foot. A random sample of 36 new homes indicated the mean cost was $116.31. The population standard deviation is $18. Determine the P-value of the test statistic and state the decision regarding the builder’s claim. Assume a level of significance of .10. Round the P-value to 4 decimal places and the test statistic to 2 decimal places.

You answer should have three parts.