Question

In a study on the influence of overall health and physical activity of individuals, a random sample of 50 male firefighters was selected, and they have a certain blood plasma volume. When finding a 97% confidence interval:

(a) Find a 97% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error (rounded to two decimal places)?

Answer 1

To find the 97% confidence interval for the population mean blood plasma volume in male firefighters, calculate the margin of error using the sample mean, sample standard deviation, and critical value.

Step-by-step explanation:

To find the 97% confidence interval for the population mean blood plasma volume in male firefighters, we first need to know the sample mean and sample standard deviation. Let's assume that the sample mean is 5 and the sample standard deviation is 2. The formula for calculating the margin of error is:

Margin of Error = (Critical Value) * (Standard Deviation / Square Root of Sample Size)

To find the critical value, we can use a Z-table or a Z-score calculator. For a 97% confidence level, the Z score is approximately 1.88. Plugging in the values:

Margin of Error = 1.88 * (2 / √50) ≈ 0.53

Therefore, the margin of error (rounded to two decimal places) is approximately 0.53.