A population has a standard deviation of 97. We take a random sample of size 26 from this population. Let Xbar be the sample mean and let Xtot be the sample sum of our sample. These are random variables. a) What is the variance of this population

Variance of this population = 9,409

Step-by-step explanation:

Given:

Standard deviation of population = 97

Random sample size = 26

Find:

Variance of this population

Computation:

Standard deviation (σ) = 97

Variance = Standard deviation²

Variance = (σ)²

Variance of this population = Standard deviation of population²

Variance of this population = 97²

Variance of this population = 9,409

17 1/3

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.