Question

Monitoring the production of soft-drink cans. The Wakefield plant of Coca-Cola and Schweppes Beverages Limited (CCSB) can produce 4,000 cans of soft drink per minute. The automated process consists of measuring and dispensing the raw ingredients into storage vessels to create the syrup and then injecting the syrup, along with carbon dioxide, into the beverage cans. In order to monitor the sub process that adds carbon dioxide to the cans, five filled cans are pulled off the line every 15 minutes, and the amount of carbon dioxide in each of these five cans is measured to determine whether the amounts are within prescribed limits.

a. Describe the process studied.

b. Describe the variable of interest.

c. Describe the sample.

d. Describe the inference of interest.

e. Brix is a unit for measuring sugar concentration. If a technician is assigned the task of estimating the average brix level of all 240,000 cans of beverage stored in a warehouse near Wakefield, will the technician be examining a process or a population? Explain.

Short answer

1. Scrutinizing the production process wherein 5 cans are pulled off every 15 minutes to check the level of carbon dioxide.
2. To check whether the amounts of carbon dioxide are within the prescribed limit or not.
3. The set of all the 5 cans that are pulled off the line every 15 minutes.
4. The number of all cans that are pulled has the correct amount of carbon dioxide that is within the prescribed limits.
5. Population

Step-by-step solution

Identifying the process

The process that the researcher is interested in is calculating and dispersing the raw ingredients into the storage vessels to make the syrup. Along with the syrup, carbon dioxide is injected.Five filled cans are drawn off every 15 minutes to inspect if the amount of carbon dioxide is within the admissible unit.

Determining the variable of interest

The variable here is to check the acceptable unit of carbon dioxide. The main aim of the study is to monitor the variable; here, it is the amount of carbon dioxide in the cans.

Defining the sample

The sample that the researcher is interested in isthe batch of all the 5 cans that are pulled out from the line every 15 minutes so as to check whether the amount of carbon dioxide is within the admissible unit.

Providing the inference

The inference is to monitor if theamount of carbon dioxide injected in the can is appropriate and within the prescribed limits or not. The purpose of inference is to identify the features of the data.

Examining whether the process is sample or population

The technician is measuring the sugar concentration in 240,000 cans; this is apopulationsince he or she will be analyzing all the cans and not a subset.