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. data106.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 ST to one decimal place Group 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.) Conclusion: There is Select statistically significant difference between the three treatment means at the a .05 level.

Explanation / Answer

a)Solution :

Treatment n mean variance

Since variation in the three values of variances is very high which can be observed from the last column of the table ,it can be said that vaiances are unequal and hence should not be pooled.

From the above table it can be observed that Fvalue =3.35 and P-value=0.004

control 10 603.7 698.4556 Low Jump 10 648.5 1387.389 High Jump 10 606.3 698.6778

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