Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is $117.91 per square foot. A random sample of 39 new homes indicated that the mean cost was $122.53 and the standard deviation was $15. Can it be concluded that the mean cost differs from $117.91, using the 0.05 level of significance? Use the P-value method. Use a graphing calculator. Part: 0 / 4 Part 1 of 4 (a) State the hypotheses and identify the claim. HO: H= 122.53 not claim X H: H