Q.8 - The Practice of Statistics for AP

Question

How tall? A random sample of female college students has a mean height of $64.5$ inches, which is greater than the $63$-inch mean height of all adult American women. 

Step-by-Step Solution

Answer

The value of 

Statistic $\overline{x}=64.5$

Parameter $\mu =63$.

Step 1: Given Information

Students have a mean height of $64.5$ inches, which is greater than the $63$-inch mean height of all adult American women. 

Step 2: The sample mean

The average height of a group of female college students is $64.5$ inches.

A statistic is a descriptive measure for a sample, whereas a parameter is a descriptive measure for a population.

Statistic

The sample mean is represented by $\overline{x}$ :

$\overline{x}=64.5$

Step 3: The population mean

The $63$-inch mean height of all adult American women.

A parameter is a descriptive measure for a population, while a statistic is a descriptive measure for a sample.

Parameter

The population means is represented by $\mu$ :

$\mu =63$