Question

A toy manufacturer claims that less than 5% of his products are defective. When 500 toys were drawn from a large production run, 8% were found to be defective.

a. What is the population of interest?

b. Describe the sample.

c. State the variable of interest.

d. Describe the parameter of interest.

e. Was this an example of an observational study or an experiment? Justify your answer.

f. Is the 8% the value of a parameter or a statistic? Justify your answer.

Answer 1

a. What is the population of interest?
Toy manufactured

b. Describe the sample.
500 toys drawn from a large production run

c. State the variable of interest.
proportion of defective toy

d. Describe the parameter of interest.
Proportion of defective toy in the population is 5% (We are asked for parameter hence we need to give the population proportion of defective toys)

e. Was this an example of an observational study or an experiment? Justify your answer.
This is an observational study since the reseracher has not control or treatment group in the production line. Rather he only observes the toy produced by taking a sample.

f. Is the 8% the value of a parameter or a statistic? Justify your answer
It is a statistic because it is based on the sample.

Parameter is related to the population.
Statistic is related to the sample.