Complete the following hypothesis test where x
is a normal random variable and σ is known.
Total blood volume (in ml) per body weight (in
kg) is important in medical research.
For healthy adults, the red blood cells 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 sample mean is [img width="8" height="20" src="data:image/png;base64,R0lGODlhCAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAwAIAAoAhAAAAAAAAAAAOgAAZgA6kABmtjoAADoAOmYAAGYAOmY6kGa2/5A6AJA6ZpBmkJDb25Db/7ZmALZmZrb//9uQOtvbkNv/ttv////bkP//tv//2wECAwECAwECAwECAwECAwUrIABoTGAGYqquKWYQV4YUmmMlTzOlpACtlMLKBUtlFJUDRDKJDCakwAIQAgA7" v:shapes="_x0000_i1025">= 32.7 ml/kg.
Let x b a random variable that represents Roger’s red blood cell
volume. Assume that x 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.