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/ 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.

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 formula

N≥ where

Using the numbers we get:

N≥ ≈ 40

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

step-by-step explanation: yes