12.65 Exercise and healthy bones. Many studies have suggested that there is a link between exercise and healthy bones. Exercise stresses the bones and this causes them to get stronger. One study examined the effect of jumping on the bone density of growing rats.22 There were three treatments: a control with no jumping, a low-jump condition (the jump height was 30 centimeters), and a high-jump condition (60 centimeters). After eight weeks of 10 jumps per day, five days per week, the bone density of the rats (expressed in milligrams per cubic centimeter) was measured. Here are the data:

GroupBone density (mg/cm3)
Control611621614593593653600554603569
Low jump635605638594599632631588607596
High jump650622626626631622643674643650
  1. (a) Make a table giving the sample size, mean, and standard deviation for each group of rats. Is it reasonable to pool the variances?

  2. (b) Run the analysis of variance. Report the F statistic with its degrees of freedom and P-value. What do you conclude?