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Many studies have suggested that there is a link between exercise and healthy bones. Exercise stresses...

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. data126.dat

(a) Make a table giving the sample size, mean, and standard deviation for each group of rats. Consider whether or not it is reasonable to pool the variances. (Round your answers for x, s, and s_(x^^\_) to one decimal place.)

Group n x^^\_ s s_(x^^\_)

Control

Low jump

High jump

(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.)

F =

P =

Conclusion: There is no? or a? statistically significant difference between the three treatment means at the α = .05 level.

obs     group   g       density
1       Control 1       565
2       Control 1       598
3       Control 1       611
4       Control 1       601
5       Control 1       623
6       Control 1       607
7       Control 1       595
8       Control 1       649
9       Control 1       620
10      Control 1       576
11      Lowjump 2       629
12      Lowjump 2       645
13      Lowjump 2       626
14      Lowjump 2       653
15      Lowjump 2       633
16      Lowjump 2       639
17      Lowjump 2       624
18      Lowjump 2       639
19      Lowjump 2       643
20      Lowjump 2       622
21      Highjump        3       619
22      Highjump        3       614
23      Highjump        3       606
24      Highjump        3       608
25      Highjump        3       615
26      Highjump        3       608
27      Highjump        3       620
28      Highjump        3       619
29      Highjump        3       597
30      Highjump        3       593

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milcah answered 1 year ago
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