Chapter 3, Problem 1FP

To determine

(a)

To write the statistical notation of Population Size.

Answer to Problem 1FP

Notation for Population Size = N

Explanation of Solution

Population size refers to the number of individuals or observation in population. The Notation for population size is “N”.

For e.g., Population of America is 329,275,423, which means N = 329,275,423.

To determine

(b)

To write the statistical notation of Sample Size.

Answer to Problem 1FP

Notation for Sample Size = N

Explanation of Solution

Sample size refers to the number of individuals or observation in sample. The Notation for Sample size is “n”.

For e.g., You take a random sample of 100 people then sample size (n) = 100.

To determine

(c)

To write the statistical notation of Population Mean.

Answer to Problem 1FP

Notation for Population Size = $"\mu "$

Explanation of Solution

Population mean refers to the average of population which is calculated by dividing the sum of observation of population by the number of observations in the population (Population size).

The notation for Population mean is $"\mu "$

For e.g., The population mean height of an adult in America is 174 cm. Therefore, $\mu =174\text{cms}\text{.}$

To determine

(d)

To write the statistical notation of Sample Mean.

Answer to Problem 1FP

Notation for Sample Size = $"\mu "$

Explanation of Solution

Sample mean refers to the average of Sample which is calculated by dividing the sum of observation of Sample by the number of observations in the Sample (Sample size).

The notation for Sample mean is $\overline{x}$.

For e.g., A researcher have randomly selected 100 males in US and the calculated their mean height and found that mean height is 171 cm. Therefore, $\overline{x}=171\text{cm}$.