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 treatmnts: 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. data118.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 (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.)

Explanation / Answer

F = 8.3889

p-value = 0.00146

since p-value is less than 0.05

we reject the null

there is enough evidence to support that there is a statistically significant difference

Anova: Single Factor SUMMARY Groups n Sum Xbar Variance s s_xbar Control 10 5955 595.5 597.833333 24.45063 7.731968 LowJump 10 6328 632.8 128.844444 11.35097 3.589491 HighJump 10 6211 621.1 574.766667 23.97429 7.581337 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 7278.466667 2 3639.233333 8.38890976 0.001467 3.354131 Within Groups 11713 27 433.8148148 Total 18991.46667 29

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