MATH SOLVE

6 months ago

Q:
# The antibody production of 12 male red-winged blackbirds before and after receiving testosterone implants was compared. The units for antibody levels were natural log (10-3 optical density) per minute (ln(mOD/min)). The mean change in antibody production was d = 0.056, and the standard deviation was sd = 0.148 If you were assigned the task of repeating this experiment, and wanted to ensure that you could detect a mean change of 0.03 units with a probability of 0.8, then what sample size would you use? Since we are calculating n for a study of individuals, answers should be rounded up to the next whole number.

Accepted Solution

A:

Answer:I you want to ensure that you could detect a mean change of 0.03 units with a probability of 0.8, then you need at least 40 individuals for the sample. Step-by-step explanation:Minimum required sample size can be found using the formulaN≥[tex](\frac{z*s}{ME} )^2[/tex] where N is the sample sizez is the corresponding z-score for (0.8 probability) 80% confidence level (1.28)s is the standard deviation (0.148)ME (margin of error) is the margin for detecting mean change (0.03) Using the numbers we get:N≥[tex](\frac{1.28*1.48}{0.03} )^2[/tex] ≈ 40