Chapter 5, Problem 5.5Q

Interpretation Introduction

Interpretation:

The values related to n and n-1 should be determined.

The difference between n and n-1 gives an inappropriate value when n is _____ or larger.

Concept Introduction:

The calculation for the value of n and n-1 is done using the following formula:

Calculation of value of n using the formula of population standard deviation,

$\sigma =\sqrt{\frac{{\displaystyle \sum \left(x_i-\overline{x}\right)}}{n}}$

Where,

$\sigma =$ Population standard deviation

$x_i$ is the value of variable from initial point to final point.

$\overline{x}$ = mean.

$n$ = number of variables.

Calculation of value of n-1 using the formula of sample standard deviation,

$s=\sqrt{\frac{{\displaystyle \sum {\left(x_i-\overline{x}\right)}^2}}{n-1}}$

Where,

s = sample standard deviation

$x_i$ is the value of variable from initial point to final point.

$\overline{x}$ = mean.

$n$ -1= number of variables