Question

According to the DuPont 2012 Global Automotive Color Popularity Report, 23% of all cars manufactured in 2012 were white. In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white. Identify the underlined values as parameters or statistics and give the appropriate variable. Spell out phat, x-bar, mu, sigma for the variable names. Which of the following statements istrue?

a. 19% and 23% are parameters, 100 is a statistic.
b. 23% is a parameter, 19% is a statistic.
c. 23% is a statistic, 19% is a parameter.
d. 19% and 23% are statistics, 100 is neither a parameter nor a statistic.
e. 19%, 23%, and 100 are all statistics.

Answer 1

b. 23% is a parameter, 19% is a statistic.

Explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

23% of all cars manufactured in 2012 were white.

This is from the population(all cars), so 23% is a parameter.

In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white.

100 is the size of the sample, which is neither a parameter, nor a statistic.

19% is from the sample of 100, so it is a statistic.

The correct answer is given by option b.