Provide a significance test to assess whether the mean bone density has changed significantly over time. Provide a two-tailed p-value?

Endocrinology

A 65-year-old woman with low bone density in 2002 was treated with alendronate through the year 2009. Bone density was measured irregularly over this period. The results for change in bone density of the lumbar spine are shown in Table 11.24.

Table 11.24: Change in bone density, lumbar spine, over time

 

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Bone density, lumbar spine (g/cm) (x) Time from baseline Visit () (months) (t) 0.797 0.806 18 0.817 48 4 0.825 5 64 0.837 66 0.841 79 0.886 92 8. 0.881 Σ E; = 375, Ex; = 6.69, E7 = 25,849, i=8 i=1 i=1