(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. Supposethat Roger has had seven blood tests, and the red blood cell volumes were as follows.3427 39 36 323931Let 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 ofsignificance.(a) What is the level of significance?0.01State 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-tailedHo: H = 28 ml/kg; H,: µ < 28 ml/kg; left-tailedO Ho: H = 28 ml/kg; H,: µ # 28 ml/kg; two-tailedHo: 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

It is given that the test statistic is 3.34.

Math

Probability

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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

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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.
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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