Maintaining your balance may get harder as you grow older. A study was conducted to see how steady the elderly is on their feet. They had the subjects stand on a force platform and have them react to...

Maintaining your balance may get harder as you grow older. A study was conducted to see how steady the elderly is on their feet.  They had the subjects stand on a force platform and have them react to a noise.  The force platform then measured how much they swayed forward and backward, and the data is in table #7.3.10 ("Maintaining balance while," 2013).  Do the data show that the elderly sway more than the mean forward sway of younger people, which is 18.125 mm?  Test at the 5% level.

Table #7.3.10: Forward/backward Sway (in mm) of Elderly Subjects