tal 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. ad the red blood cell volumes were as follows. 32 26 40 37 31 35 29 et x be a random vartable 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 u = 28 m/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-taled, nght-tailed, or two-tailed test? O Ho H = 28 m/kg; H A> 28 ml/kg; rnight-taled O Hg - 28 m/kg; H = 28 ml/kg; two-tailed O Hai H- 28 ml/kg; H 4< 28 ml/kg; left-tailed O Hai H 26 m/kg; H: u- 25 ml/kg; two-taled (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 known o O The Student's t, since n is large with unknown a. O The Student's t, since we assume that x has a normal distribution with known d. O The standard normal, since we assume that x has a normal distribution with unknown 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 deamal places) sketch the sampling distribution and show the area corresponding to the Pvalue Pvalue P-value

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Total blood volume (In ml) per body welght (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 40 37 31 35 29
Let x be a random varlable 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 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-talled, nght-taled, or two-talled test?
O Ho: H= 28 ml/kg; H: H> 28 ml/kg; right-tailed
O Hg: H- 28 ml/kg; H: u = 28 ml/kg; two-taled
O Ho: H- 28 m/kg; H: H< 28 ml/kg; left-tailed
O Hai H- 28 m/kg; H: u- 28 ml/kg; two-talled
(b) what sampling distribution will you use? Explain the rationale for your cholce of sampling distribution
O The standard normal, since we assume that x has a normal distribution with known a.
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 knowng.
O The standard normal, since we assume that x has a normal distribution with unknown 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.)
Sketch the sampling distribution and show the area corresponding to the P-value.
Us OI 8:32
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Transcribed Image Text:Total blood volume (In ml) per body welght (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 40 37 31 35 29 Let x be a random varlable 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 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-talled, nght-taled, or two-talled test? O Ho: H= 28 ml/kg; H: H> 28 ml/kg; right-tailed O Hg: H- 28 ml/kg; H: u = 28 ml/kg; two-taled O Ho: H- 28 m/kg; H: H< 28 ml/kg; left-tailed O Hai H- 28 m/kg; H: u- 28 ml/kg; two-talled (b) what sampling distribution will you use? Explain the rationale for your cholce of sampling distribution O The standard normal, since we assume that x has a normal distribution with known a. 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 knowng. O The standard normal, since we assume that x has a normal distribution with unknown 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.) Sketch the sampling distribution and show the area corresponding to the P-value. Us OI 8:32 hp esc -> 23 2$ backspace 1 4. 8 9.
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