(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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Need help computing the z value and finding c only
***********
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 μ = 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 34 32 37 31
Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and a = 4.75. Do the data indicate that Roger's
red blood cell volume is different (either way) from μ = 28 ml/kg? Use an alpha of 0.01.
(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: μ = 28 ml/kg; H:
28 ml/kg; two-tailed
O Ho: M# 28 ml/kg; H₂
= 28 ml/kg; two-tailed
O Ho: M = 28 ml/kg; H₂: > 28 ml/kg; right-tailed
O Ho: M = 28 ml/kg; H: μ< 28 ml/kg; left-tailed
(b) What sampling distribution will use? Explain the rationale for your choice of sampling distribution.
O The Student's t, since n is large with unknown σ.
The standard normal, since we assume that x has a normal distribution with known σ.
O The Student's t, since we assume that x has a normal distribution with known σ.
O The standard normal, since we assume that x has a normal distribution with unknown σ.
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.
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 μ = 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 34 32 37 31 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and a = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use an alpha of 0.01. (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: μ = 28 ml/kg; H: 28 ml/kg; two-tailed O Ho: M# 28 ml/kg; H₂ = 28 ml/kg; two-tailed O Ho: M = 28 ml/kg; H₂: > 28 ml/kg; right-tailed O Ho: M = 28 ml/kg; H: μ< 28 ml/kg; left-tailed (b) What sampling distribution will use? Explain the rationale for your choice of sampling distribution. O The Student's t, since n is large with unknown σ. The standard normal, since we assume that x has a normal distribution with known σ. O The Student's t, since we assume that x has a normal distribution with known σ. O The standard normal, since we assume that x has a normal distribution with unknown σ. 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.
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