# stats- hypothesis test

**Question description**

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 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.

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