(c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 0.0020

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(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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 o = 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.
(a) What is the level of significance?
0.01
State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
O Ho: u + 28 ml/kg; H,: µ = 28 ml/kg; two-tailed
Ho: H = 28 ml/kg; H,: µ < 28 ml/kg; left-tailed
O Ho: H = 28 ml/kg; H,: µ # 28 ml/kg; two-tailed
Ho: H = 28 ml/kg; H,: µ > 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 o.
O The standard normal, since we assume that x has a normal distribution with unknown o.
O The standard normal, since we assume that x has a normal distribution with known o.
O The Student's t, since we assume that x has a normal distribution with known o.
Compute the z value of the sample test statistic. (Round your answer to two decimal places.)
3.34
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
0.0020
Transcribed Image Text: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 o = 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. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: u + 28 ml/kg; H,: µ = 28 ml/kg; two-tailed Ho: H = 28 ml/kg; H,: µ < 28 ml/kg; left-tailed O Ho: H = 28 ml/kg; H,: µ # 28 ml/kg; two-tailed Ho: H = 28 ml/kg; H,: µ > 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 o. O The standard normal, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. O The Student's t, since we assume that x has a normal distribution with known o. Compute the z value of the sample test statistic. (Round your answer to two decimal places.) 3.34 (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 0.0020
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