Question

As the owner of a new chocolate shop in town, you commission a survey to evaluate the potential interest of your clients to three new flavours. The flavours are ghost pepper, salted pretzel, and jelly bean. The company you hire comes up with the following study design: - Randomly select 100 addresses from the list of all addresses in your town. - Visit each of the addresses and select the oldest member of the household. - Randomly assign one of the flavours to the oldest member of the household and ask them to rank their preference on the following scale: strongly dislike, dislike, neutral, like, strongly like. Identify the following elements in the study. Be as specific as possible. i. Sample: ii. Sampling unit: iii. Statistical population: iv. Observation unit: v. Measurement variable:

Answer 1

In the study, the sample consists of 100 randomly selected addresses, the sampling unit is each address in the town, the statistical population is all the oldest members of households in the town, the observation unit is the oldest member of each visited household, and the measurement variable is the preference rank for the assigned chocolate flavour.

Step-by-step explanation:

The elements of the study design provided can be identified as follows:

Sample: The 100 addresses selected randomly from the list of all addresses in the town.

Sampling unit: Each address in the town, since it's the element selected in the first stage of sampling.

Statistical population: All the oldest members of households within the town, as they represent the group about whom we are trying to draw conclusions.

Observation unit: The oldest member of each visited household, as they are the individuals on whom the data (preference rank) is collected.

Measurement variable: The preference rank given by the oldest member of the household for the assigned flavour of chocolate (strongly dislike, dislike, neutral, like, strongly like).

The survey aims to gauge the potential interest in three new chocolate flavours. This study's design will help inform the chocolate shop owner about the preferences of potential customers in the town.