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 the individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x bar = 37.5 ml/kg. Assume that d standard deviation = 7.50 ml/kg for the distribution of blood plasma. (d) Sample size. Find the sample size necessary for a 99% confidence level with maximal margin of error E=2.50 for the mean plasma volume in male firefighters.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Statistics question - I need help with part (d).
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 the individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x bar = 37.5 ml/kg. Assume that d standard deviation = 7.50 ml/kg for the distribution of blood plasma.
(d)
I know the answer is n=60 but I don't know how that was found. Can you please explain formula used/show work? Thanks.
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