Question

1. Compare the difference between the parameter and statistic? Give some examples for parameters and statistics. Show work below.
2. A national survey interviewed 3800 people ages 18 and older nationwide by telephone. One question asked was the amount of gasoline they used in the previous week. Of those sampled, the average response was 11.75 gallons. What is the parameter and statistic in this case? Show work below.

Answer 1

a)

1) The parameter is drawn from the measurements of units in the population. As against this, the statistic is drawn from the measurement of the elements of the sample.

2) The statistic is a variable and known number which depend on the sample of the population while the parameter is a fixed and unknown numerical value.

For Example: The parameter is the average amount of water consumed by all male teenagers, in a day whereas the statistic is the average 1.5 litres of water consumed in a day by male teens, obtained from a simple random sample of 55 male teens.

b) In the given example ,

Parameter : The average amount of gasoline interviewed by all people ages 18 and older nationwide by telephone .

Statistic: The average response was 11.75 gallons.