Many studies have suggested that there is a link between exercise and healthy bo
ID: 2929294 • Letter: M
Question
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. 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 8 weeks of 10 jumps per day, 5 days per week, the bone density of the rats (expressed in mg/cm3 ) was measured. Here are the data. data370.dat
(b) Run the analysis of variance. Report the F statistic with its degrees of freedom and P-value. What do you conclude? (Round your test statistic to two decimal places and your P-value to three decimal places.)
Conclusion: There is ---Select--- no a statistically significant difference between the three treatment means at the = .05 level.
Group n s Control Low jump High jumpExplanation / Answer
a.
Descriptive Statistics: Density
Total
Variable Group Count Mean SE Mean StDev
Density Control 1 10 603.6 10.8 34.3
Highjump 3 10 608.40 4.93 15.59
Lowjump 2 10 640.40 6.60 20.86
b.
One-way ANOVA: Density versus Group
Source DF SS MS F P
Group 2 8004 4002 6.49 0.005
Error 27 16661 617
Total 29 24665
S = 24.84 R-Sq = 32.45% R-Sq(adj) = 27.45%
Individual 95% CIs For Mean Based on
Pooled StDev
Level N Mean StDev ------+---------+---------+---------+---
Control 1 10 603.60 34.25 (-------*-------)
Highjump 3 10 608.40 15.59 (-------*-------)
Lowjump 2 10 640.40 20.86 (-------*-------)
------+---------+---------+---------+---
600 620 640 660
Pooled StDev = 24.84