If you are told that haemoglobin (Hb) level in blood measures the iron content. The normal level in healthy people is around 15 g/dL. Most Indian women have less and some have even less than 8 g/dL. They are called anemic. Iron supplementation is given to increase this level. Suppose one supplementation increase the mean Hb level in anemics by 3.2 g/dL, after one month of use and the other by 3.6 g/dL, in an equivalence trial on 500 women each. The respective SD’s of the of the increases are 0.52 and 0.72 g/dL. The doctors determine that the supplementations can be clinically equivalent if the difference between the increases by two supplementations does not exceed 0.52 g/dL. Can these two supplementations be considered clinically equivalent at 5% level of significance?

To determine if the two supplementations can be considered clinically equivalent at a 5% significance level, we need to perform an equivalence test using the provided data.

Given information:
- Mean increase in Hb level for supplementation 1: 3.2 g/dL
- Mean increase in Hb level for supplementation 2: 3.6 g/dL
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