Question

Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.60 ml/kg for the distribution of blood plasma.

(a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.)

lower limit

upper limit

margin of error

(b) What conditions are necessary for your calculations? (Select all that apply.)

the distribution of weights is normal

*σ* is known

*σ* is unknown

the distribution of weights is uniform

*n* is large

(c) Interpret your results in the context of this problem.

The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01

99% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.

1% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.

The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.

(d) Find the sample size necessary for a 99% confidence level
with maximal margin of error *E* = 2.20 for the mean plasma
volume in male firefighters. (Round up to the nearest whole
number.) male firefighters

Answer #1

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 47 male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma
per kilogram body weight). Assume that σ = 7.60 ml/kg for the
distribution of blood plasma.
(a) Find a...

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 42 male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters
plasma per kilogram body weight). Assume that σ = 7.60
ml/kg for the distribution of blood plasma.
(a) Find a...

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 43 male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma
per kilogram body weight). Assume that σ = 7.60 ml/kg for the
distribution of blood plasma.
(a) Find a...

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 43male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters
plasma per kilogram body weight). Assume that σ = 7.60
ml/kg for the distribution of blood plasma.
(a) Find a 99%...

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 42 male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma
per kilogram body weight). Assume that σ = 7.90 ml/kg for the
distribution of blood plasma.
(a) Find a...

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 50 male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma
per kilogram body weight). Assume that σ = 7.70 ml/kg for the
distribution of blood plasma. (a) Find a...

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 50 male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters
plasma per kilogram body weight). Assume that σ = 8.00
ml/kg for the distribution of blood plasma.
(a) Find a...

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 50 male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters
plasma per kilogram body weight). Assume that σ = 8.00
ml/kg for the distribution of blood plasma.
(a) Find a...

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 40 male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma
per kilogram body weight). Assume that σ = 7.70 ml/kg for the
distribution of blood plasma. (a) Find a...

Total plasma volume is important in determining the required
plasma component in blood replacement therapy for a person
undergoing surgery. Plasma volume is influenced by the overall
health and physical activity of an individual. Suppose that a
random sample of 48 male firefighters are tested and that they have
a plasma volume sample mean of x = 37.5 ml/kg (milliliters
plasma per kilogram body weight). Assume that σ = 7.10
ml/kg for the distribution of blood plasma.
(a) Find a...

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