(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; Hz: µ > 28 ml/kg; right-tailed Ο Hg: μ- 28 ml/kg; H μ< 28 ml/kg; left-tail ed O Ho: H + 28 ml/kg; Hq: µ = 28 ml/kg; two-tailed O Họ: H = 28 ml/kg; Hz: µ = 28 ml/kg; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since n is large with unknown o. O The Student's t, since we assume that x has a normal distribution with known o. O The standard normal, 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.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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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.
32 26 42 36 30 35 30
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 Lµ = 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; H1: µ > 28 ml/kg; right-tailed
O Ho: u = 28 ml/kg; H1: µ < 28 ml/kg; left-tailed
O Ho: u * 28 ml/kg; H1: µ = 28 ml/kg; two-tailed
O Ho: H = 28 ml/kg; H1: µ * 28 ml/kg; two-tailed
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The standard normal, since we assume that x has a normal distribution with unknown o.
O The Student's t, since n is large with unknown o.
O The Student's t, since we assume that x has a normal distribution with known o.
O The standard normal, 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.)
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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. 32 26 42 36 30 35 30 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 Lµ = 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; H1: µ > 28 ml/kg; right-tailed O Ho: u = 28 ml/kg; H1: µ < 28 ml/kg; left-tailed O Ho: u * 28 ml/kg; H1: µ = 28 ml/kg; two-tailed O Ho: H = 28 ml/kg; H1: µ * 28 ml/kg; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since n is large with unknown o. O The Student's t, since we assume that x has a normal distribution with known o. O The standard normal, 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.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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