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-

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.)

----------------------------------------------------------------------**The
End**
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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 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.
33
27
42
36
31
35
29
The sample mean is x ≈ 33.3 ml/kg. Let x...

Total blood volume (in ml) per body weight (in kg) is important
in medical research. For healthy adults, the red blood cell volume
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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
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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 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.
34 25 39 36 31 36 30
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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 μ = 28 ml/kg.† Red blood cell volume that is
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Roger has had seven blood tests, and the red blood cell volumes
were as follows.
33
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39
29
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