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 µ = 28 ml/kg with a standard deviation of 4.75 ml/kg ....

Total blood volume (in ml) per body weight (in kg) is important in medical research.  For healthy adults, the red blood cell volumemean is aboutµ = 28 ml/kg with a standard deviation of4.75ml/kg.  Red blood cells volume that is too low or too high can indicate a medical problem.    Suppose he does a hypothesis test with asignificance level of 0.01.

Roger has had seven blood tests and the red blood cell volumes were:

32       25       41       35       30       37       29

Roger’s null hypothesis is that his blood tests are normal and that his alternative hypothesis is that something is wrong.  Symbolically, the null and hypotheses are as follows

Ho: µ = 28 ml/kg and Hi: µ ≠ 28 ml/kg

What value of thetest statistic (z) should he report?

(Sampling a Normal Distribution for the Mean µ)