Many studies have suggested that there is a link between exercise and healthy bo

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.

obs group g density

(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.)

Group n s Control Low jump High jump

Explanation / Answer

Sol:

run one way anova in excel

output is

solutionb:

F=6.41

p=0.005

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Control 1 10 6062 606.2 616.6222 Lowjump 2 10 6360 636 147.1111 Highjump 10 6117 611.7 412.9 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 5029.267 2 2514.633 6.411428 0.005268 3.354131 Within Groups 10589.7 27 392.2111 Total 15618.97 29

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