Suppose the average size of a new house built in a certain county in 2010 was 2,272
Question:
Suppose the average size of a new house built in a certain county in 2010 was 2,272 square feet. A random sample of 25 new homes built in this county was selected in 2014. The average square footage was 2,190, with a sample standard deviation of 225 square feet.
a. Using σ = 0.02, does this sample provide enough evidence to conclude that the average house size of a new home in the county has changed since 2010?
b. Estimate the p value for this test using Table 5 in Appendix A.
c. Determine the precise p value for this test using Excel.
d. Use PHStat to validate these results.
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