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 u = 28 ml/kg.t 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. 34 27 39 36 32 39 31 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and e = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from u= 28 ml/kg? Use a 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H+ 28 ml/kg; H,: - 28 ml/kg; two-tailed O Ho: H= 28 ml/kg; H,: < 28 ml/kg; left-tailed O Ho: H= 28 ml/kg; H,: + 28 ml/kg; two-tailed O Ho: H= 28 ml/kg; H,: > 28 ml/kg; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since n is large with unknown a. O The standard normal, since we assume that x has a normal distribution with unknown a. O The standard normal, since we assume that x has a normal distribution with known a. O The Student's t, since we assume that x has a normal distribution with known a. Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)