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.† Red blood cell volume that is too low or...

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.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows.

The sample mean is x ≈ 32.7 ml/kg. Letx be a random variable that represents Roger's red blood cell volume. Assume thatx has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance.

A)  Compute the
z value of the sample test statistic. (Round your answer to two decimal places.)




B)   Find (or estimate) the
P-value. (Round your answer to four decimal places.)

C)  Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?

D)  State your conclusion in the context of the application.