Question

2. Suppose you are interested in the population of all elementary school students in Missoula County. Suppose also that we collect information from a (non-random) sample of 30 elementary school students at a particular elementary school. Identify each of the following as either a parameter or statistic. Also include the appropriate corresponding symbol used to denote it.

1. The average score received on a standardized math test by the 30 students sampled.

2. The proportion of elementary school students in Missoula County participating in after-school programs.

3. The proportion of the 30 students sampled who participate in after-school programs.

Answer 1

The average score received on a standardized math test by the 30 students sampled.

here it is the average of 30 sampled

it is describing sample which is statistic

so sample mean=xbar

The proportion of elementary school students in Missoula County participating in after-school programs.

All elementay schools students

describing population which is parameter'

denoted by p

The proportion of the 30 students sampled who participate in after-school programs.

here proportion of 30 tudents

sample proportion denoted by p hat

it is statistic

The average score received on a standardized math test by the 30 students sampled.

STATISTIC,xbar

The proportion of elementary school students in Missoula County participating in after-school programs

PROPORTION.p

.The proportion of the 30 students sampled who participate in after-school programs.

STATISTIC,p-hat