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 25 houses built during this period shows an average square footage of \(\bar{X}\) = 2363 with a standard deviation of s = 95.15 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?

Ho: \(\mu \ge 2460\)

H1: \(\mu <2460\)

α = 0.01

Test Statistic: -5.097

P-value: 0.000

Decision on Ho: Reject Ho

Interpretation: W e 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.

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