Total plasma volume is important in determining the required plasma component in blood replacement theory for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that sample of 50 male firefighters are tested and that they have a plasma volume sample mean of ml/kg (milliliters of plasma per kilogram body weight). Assume that ml/kg for the distribution of blood plasma. Find the 95% confidence interval of the population mean blood plasma volume in male firefighters. Round your answer to two decimal places.

Question

Total plasma volume is important in determining the required plasma component in blood replacement theory for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that sample of 50 male firefighters are tested and that they have a plasma volume sample mean of ml/kg (milliliters of plasma per kilogram body weight). Assume that ml/kg for the distribution of blood plasma. Find the 95% confidence interval of the population mean blood plasma volume in male firefighters. Round your answer to two decimal places.

37.47 ml/kg to 39.53 ml/kg
36.87 ml/kg to 35.87 ml/kg
36.37 ml/kg to 40.63 ml/kg
38.20 ml/kg to 38.80 ml/kg
38.13 ml/kg to 38.87 ml/kg

Answer 1

Need the mean and standard deviation values.

95% conf. interval = mean ± 1.96 SE

SE = SD/√(n-1)

Answer 2

To find the 95% confidence interval of the population mean blood plasma volume in male firefighters, we can use the formula:

Confidence Interval = sample mean ± (critical value) * (standard error)

First, we need to find the critical value for a 95% confidence interval. Since we have a large sample size (50), we can use the Z-distribution.

For a 95% confidence interval, the critical value is approximately 1.96.

Next, we need to calculate the standard error using the formula:

Standard Error = sample standard deviation / square root of sample size

Since the standard deviation is not given in the question, we will use the ml/kg value as an estimate.

Now, let's substitute the given values into the formula:

Standard Error = (max value - min value) / 4

Standard Error = (39.53 - 37.47) / 4

Standard Error = 0.52

Finally, we can calculate the confidence interval:

Confidence Interval = sample mean ± (critical value) * (standard error)

Confidence Interval = (37.47 + 39.53) / 2 ± (1.96) * (0.52)

Confidence Interval = 38.50 ± 1.02

Confidence Interval = (37.48, 39.52)

Rounding the answer to two decimal places, the 95% confidence interval of the population mean blood plasma volume in male firefighters is 37.48 ml/kg to 39.52 ml/kg.

Therefore, the correct answer is: 37.48 ml/kg to 39.52 ml/kg.