If you overestimate the standard deviation of the population, which type of error are you potentially increasing

Standard Error

Step-by-step explanation:

The standard deviation is directly proportional to the sample standard deviation or standard error.

According to the relation :

Standard Error = standard deviation / sqrt(sample size)

Going by these relation an increase in the value of standard deviation will favor or increase the standard error withba constant Number of samples.

Therefore, overestimating the standard deviation will. Cause an increase in the standard error, while underestimating the standard deviation will also lower the standard error.

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240