stats- Hypothesis testing

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=” 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.