How do a parameter and a statistic​ differ?

A parameter is a numerical measurement of a​ population; a statistic is a numerical measurement of a sample.

Determine whether the given value is a statistic or a parameter.

A homeowner measured the voltage supplied to his home on a random sample of 38 days​, and the average​ (mean) value is 100.3 volts.

The given value is a statistic for the year because the data collected represent a sample.

Which of the following would be classified as categorical​ data?

Hair color

Determine whether the given value is from a discrete or continuous data set.

When a car is randomly​ selected, it is found to have a gas tank that can hold 14.7 gal.

A continuous data set because there are infinitely many possible values and those values cannot be counted.

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate.

Voltage measurements of batteries: 1.5 V, 3 V, 4.5 V, 6 V, and 7.5 V

Ratio

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate.

Companies that produced movies in 2007.

The nominal level of measurement is most appropriate because data cannot be arranged in an ordering scheme.

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate.

Years in which a recession occurred.

The nominal level of measurement is most appropriate because the data cannot be ordered.

Which of the following is NOT a level of​ measurement?

Quantitative

Determine whether the given value is from a discrete or continuous data set.

When a car is randomly​ selected, it is found to have enough room to seat 6 people.

A discrete data set because there are a finite number of possible values.

Determine whether the given value is a statistic or a parameter.

A homeowner measured the voltage supplied to his home on 287 days of a given year​, and the average​ (mean) value is 126.4 volts.

The given value is a statistic for the year because the data collected represent a sample.

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate for the data below.

Mood levels of "happy," "alright," and "sad"

The ordinal level of measurement is most appropriate because the data can be ordered, but differences (obtained by subtraction) cannot be found or are meaningless.

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate.

Types of restaurants (fast food, organic food, sea food, etc.)

The nominal level of measurement is most appropriate because data cannot be arranged in an ordering scheme.