I need to find F. Please be thorough and correct as I only have one attempt left

Question

I need to find F. Please be thorough and correct as I only have one attempt left. Thanks!

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. data 182.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.) ST Group Control10 Low jump 10 High jump 10 22.7 20.3 24.7 590 637.5 608.9 6.4 7.8 (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-16.02 P-0.000 Conclusion: There is a statistically significant difference between the three treatment means at the = .05 level

Explanation / Answer

from above data:

below is the ANOVA table:

for above test stat F =11.16

please reply

i ni Xi Si^2 ni*(Xi- grand mean)^2 (ni-1)*Si^2 A 10 590 515.290 4898.844 4637.610 B 10 637.5 412.090 6434.678 3708.810 C 10 608.9 610.090 104.544 5490.810 Weighted mean 612.133 11438.067 13837.230 SSG SSE Source of variation SS df MS F P value treatment 11438.067 2 5719.033 11.159 0.0003 error 13837.230 27 512.490 total 25275.297 29

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