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

ID: 3367810 • 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. data318.dat

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(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

10

592.1 28.29389412 8.947314929 Low jump 10 640.1 14.95511804 4.729223568 High jump 10 620.4 14.69088909 4.645667038

Explanation / Answer

from given data considering table a has right values::

b)

F =14.08

p value =0.000

c ni x?i S2i ni*(Xi-Xgrand)2 (ni-1)*S2i control 10 592.100 800.544 6468.544 7204.90 low jump 10 640.100 223.656 5092.544 2012.90 high jump 10 620.400 215.822 82.178 1942.40 grand mean= 617.533 11643.267 11160.20 SSTr SSE Source of variation SS df MS F P value treatment 11643.267 2 5821.63 14.08 0.0001 error 11160.200 27 413.34 total 22803.467 29