Complete the following hypothesis test where x
is a normal random variable and 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 = 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 = 4.75. Do the data indicate that Roger s red blood cell
volume is different (either way) from = 28 ml/kg? Use a 0.01 level of significance.
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