Question: The average square footage of new homes in the US built between 1990 and 1999 is said to be µ = 2460 square feet according to the internet source 90s-Info.com. A random sample of 27 houses built during this period shows an average square footage of x= 2357 with a standard deviation of s = 97.6 square feet. At the .01 significance level, is there enough evidence to claim that the mean square footage of houses during this period is less than 2460?

Ha: \(\mu \ge 2460\)

H1:

= 0.01

Distribution: t-distribution

Test Statistic t = -5.484

P-value p = 0.000

Decision on H0: Reject Ho

Interpretation: We have enough evidence to support the claim that there is enough evidence to claim that the mean square footage of houses during this period is less than 2460.