[See Steps] Medical: Red Blood Cell Volume Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the


Question: Medical: Red Blood Cell Volume

Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about \[\mu \] = 28 ml/kg (Reference: Laboratory and Diagnostic Tests, F. Fischbach). Red blood cell volume that is too low or too high can indicate a medical problem (see reference). Suppose that Roger has had seven blood tests, and the red blood cell volumes were

32 25 41 35 30 37 29

The sample mean is \[\bar{X}\] ≈ 32.7 ml/kg. Let x be a random variable that represents Roger’s red blood cell volume. Assume that x has a normal distribution and \[\sigma \] = 4.75. Do the data indicate that Roger’s red blood cell volume is different (either way) from \[\mu \] = 28 ml/kg? Use a 0.01 level of significance.

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