Question: 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 mg/kg (Reference: Laboratory and Diagnostic Tests, F. Fischbach). Red blood cell volume that is too low or too high might indicate a medical problem (see reference). Suppose that Roger has had seven blood tests, and the red blood cell volumes were

The sample mean is \[\overline{x}\] \[\approx \] 32.7ml/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 mg/kg? Use a 0.01 level of significance.