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 stem less projectile points were found at the Wind Mountain site. A random sample of 55 stemmed projectile points showed a sample mean length of 3.0cm with a sample standard deviation of 0.8cm. Another random sample of 51 stem less projectile points showed a sample mean length of 2.7cm with a sample standard deviation of 0.9cm. 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.