Question

A random sample of five college women was asked for their own heights and their mothers' heights. The researchers wanted to know whether college women are taller on average than their mothers. The results (in inches) follow. Pair 1 2 3 4 5 Daughter 65 63 64 69 66 Mother 66 62 65 67 62

Answer 1

Yes, college women are taller on average than their mothers

Explanation:

We know that for terms
`x_1,x_2,x_3,x_4,...,x_n`, average is given by
`(x_1+x_2+x_3+x_4+...+x_n)/(n)`

Heights of daughters ( in inches ) are 65 63 64 69 66 .

Let
`x_1=65\,,\,x_2= 63\,,\,x_3= 64\,,\,x_4= 69\,,\,x_5= 66`

Also, n = 5

So, average height of daughters :

`(65+63+64+69+66)/(5)\\=(327)/(5)\\=65.4`

Let
`x_1=66\,,\,x_2= 62\,,\,x_3= 65\,,\,x_4= 67\,,\,x_5= 62`

Also, n = 5

So, average height of mothers :

`(66+62+65+67+62)/(5)\\=(322)/(5)\\=64.4`

So, average height of daughters is more than average height of mothers .

Yes, college women are taller on average than their mothers.