Question: Archeology: Arrowheads. The Wind Mountain archaeological site is in southwest New Mexico. Prehistoric Native Americans called Anasazi once lived and hunted small game in this region. A stemmed projectile point is an arrowhead that has a notch on each side of the base. Both stemmed and stemless projectile points were found at the Wind Mountain site. A random sample of \(n_{1}=\) 55 stemmed projectile points showed the mean length to be \(\bar{x}_{1}=3.0 \mathrm{~cm}\), with sample standard deviation \(s_{1}=0.8 \mathrm{~cm} .\) Another random sample of \(n_{2}=51\) stemless projectile points showed the mean length to be \(\bar{x}_{2}=2.7 \mathrm{~cm}\), with \(s_{2}=\) \(0.9 \mathrm{~cm}\). Do these data indicate a difference (either way) in the population mean length of the two types of projectile points? Use a 5% level of significance.

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