Researchers examined the effect of phosphate supplementation on bone formation in 6 healthy adult dogs. For each dog, bone formation was measured twice: once after 12 weeks of phosphate supplementation, and once after a 12-week control period. The results in percent bone growth per year are shown below. Do these data provide evidence that phosphate
supplementation significantly stimulates bone formation?
Dog ID 1 2 3 4 5 6
Control 1.73 3.37 3.59 2.05 1.86 3.60
Phosphate 8.16 4.58 3.98 5.24 3.04 7.03
a. Write an appropriate null and alternative hypothesis for the mean difference.
b. If the test statistic value was t = –2.92, determine the p-value using the appropriate degrees of freedom.
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