Question

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.† 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

27

41

36

28

38

31

The sample mean is x ≈ 33.3 ml/kg. Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 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.

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.)______________?

Answer 1

ANSWER:

Given that,

sample mean is x ≈ 33.3 ml/kg

σ = 4.75

μ = 28 ml/kg

Sample size = n = 7

Compute the z value of the sample test statistic. (Round your answer to two decimal places.) ________?
z = (sample mean-μ)/(σ /sqrt(n))

z = (33.3-28)/(4.75/sqrt(7))

z = 2.95 (Rounded your answer to two decimal places.)

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

Two-tailed p-value = 2*P(Z > |2.95|)

= 2*0.00159

= 0.00318

P-value = 0.0032 (Rounded your answer to four decimal places.)

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