A biologist wants to estimate the difference between the mean body lengths of green and brown stinkbugs. A random sample of 20 green stinkbugs has a mean body length of 16.22 millimeters (mm) and a standard deviation of 1.34 mm. A random sample of 20 brown stinkbugs has a mean body length of 13.41 mm and a standard deviation of 0.73 mm. What is the standard error of the difference (green - brown) between the sample means?

standard error of the difference (green - brown) between the sample means

Step-by-step explanation:

Explanation:-

Given data a random sample of 20 green stinkbugs has a mean body length of 16.22 millimeters (mm) and a standard deviation of 1.34 mm.

First sample size 'n₁' = 20

mean of the first sample (x₁⁻) =16.22mm

Standard deviation of first sample (S₁) = 1.34mm

First sample size 'n₂' = 20

mean of the first sample (x₂⁻) =13.41mm

Standard deviation of first sample (S₂) = 0.73mm

Standard error of the difference between the sample means is defined by

conclusion:-

standard error of the difference (green - brown) between the sample means

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

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