Chapter 1, Problem 1SR

a.

To determine

Explain whether the given situation is an example of descriptive or inferential statistics.

Answer to Problem 1SR

The given situation is an example of inferential statistics.

Explanation of Solution

Descriptive statistics:

Descriptive statistics are a set of statistical tools that are used to organize, summarize, and present data in a comprehensible manner.

Inferential statistics:

Inferential statistics are a set of statistical tools that are used to estimate the properties of a population, based on the characteristics of a sample from that population.

In this case, a sample of 1,960 individuals is sampled to try the newly developed chicken dinner, so that a conclusion can be formed about the population of consumers.

Thus, the given situation is an example of inferential statistics.

b.

To determine

Identify what can be reported regarding the acceptance of the new chicken dinner.

Explanation of Solution

It is given that 1,176 out of the 1,960 sampled individuals expressed the wish to purchase the new chicken dinner, if marketed. In other words, these 1,176 individuals accepted it.

The percentage of individuals, who accepted it, is calculated bellow:

$\frac{1,176}{1,960}\times 100\%=60\%$.

Thus, it can be reported that 60% of the sampled individuals accepted the new chicken dinner. Thus, about 60% of all their consumers are likely to accept it, if marketed.