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An online store contacts 1000 customers from its list of customers who have purchased in the past year. In all, 696 of the 1000 say that they are very satisfied with the store's website. The population in this setting is a. all customers who have purchased something in the past year. b. the 1000 customers contacted. c. the 696 customers who were very satisfied with the store's website.

Short Answer

Expert verified
a. all customers who have purchased something in the past year.

Step by step solution

01

Understand the Definition of Population

In statistics, the 'population' refers to the entire group of individuals or instances about whom we hope to learn. It includes everyone or everything involved in a particular study, regardless of whether they were contacted or not.
02

Identify the Study's Population

The exercise states that 1000 out of the customers who have purchased in the past year were contacted. Therefore, 'all customers who have purchased something in the past year' represents the entire group we are interested in, making it the population in this setting.
03

Distinguish Between Sample and Population

The 1000 customers who were contacted form a sample because they are a smaller group selected from the population for the purpose of the study. The population, however, is all the customers who made purchases during the past year, not just those who were contacted.
04

Consider the Satisfaction Data

The 696 customers who are very satisfied are a subgroup of the 1000 customers contacted, hence they represent a portion of the sample, not the entire population. Remember, the population includes everyone who could have been contacted, not just those who responded or were satisfied.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Sample vs Population
In statistics, it is crucial to differentiate between a sample and a population. The population is the entire group of interest in a study. It includes every individual or instance you want to learn about. For instance, if an online store wants to know how satisfied all their customers are, the population would be all the customers who purchased something in the past year.

However, studying the entire population is often impractical due to its large size. Hence, researchers use a sample, which is a smaller, manageable group selected from the population. In the online store example, the 1000 customers who were contacted for feedback form the sample. They provide insights about the broader group—the population.

Understanding this distinction is vital for statistical analysis as it determines the scope and accuracy of your findings. The sample's feedback, like the 696 satisfied customers, helps make inferences about the entire population.
Statistical Study
A statistical study begins with clearly defining your population. In our case, the objective is to assess how an online store's customers feel about the website. The study's primary task is to establish parameters to ensure data accuracy and relevance.

Once the population is defined, like all past year's customers in our example, the next step is selecting a sample. This requires careful planning to avoid biases and ensure that the sample truly represents the population. The online store contacted a random slice of 1000 customers, which helps in maintaining a fair representation.
  • Define the population clearly.
  • Select a representative sample.
  • Collect data systematically.
Moreover, statistical studies often utilize various methods such as surveys, interviews, and observations to gather data. This collected data—like customer satisfaction ratings—allows researchers to draw conclusions about the population and make informed decisions.
Customer Satisfaction Data
Customer satisfaction data is vital for businesses to understand their performance from the customer's perspective. Here, 696 out of 1000 sampled customers expressed high satisfaction with the store's website. This data point alone provides valuable insights into customer experiences and perceptions.

Methods for collecting customer satisfaction data can include surveys with targeted questions about user experience, product quality, and service effectiveness. Data analysis can highlight trends and patterns that inform business improvements. Such as identifying website areas that are performing well or needing enhancements.
  • Feedback methods: surveys, interviews.
  • Data analysis: identifying trends.
  • Outcome: informed decision making.
Using this feedback, businesses can tailor their strategies and improve customer relations. Ultimately, gaining a competitive edge in the market through enhanced customer satisfaction and loyalty.

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Most popular questions from this chapter

Software Survey. A statistical software company is planning on updating Version \(8.1\) of its software and wants to know what features are most important to users. The company's managers have the email addresses of 1100 individuals, mostly faculty at universities, for whom they have supplied free courtesy copies of Version 8.1. They email these 1100 individuals and ask them to complete a survey online. A total of 186 of these individuals complete the survey. a. What is the population of interest to the software company? Do you think the 1100 individuals contacted are representative of the population? Explain your reasons. b. What is the sample? From what group is information actually obtained?

Sampling Gravestones. The local genealogical society in Coles County, Illinois, has compiled records on all 55,914 gravestones in cemeteries in the county for the years 1825 through 1985 . Historians plan to use these records to learn about African Americans in Coles County's history. They first choose an SRS of 395 records to check their accuracy by visiting the actual gravestones. 3 a. How would you label the 55,914 records? b. Use software, the Simple Random Sample applet, or Table \(\underline{B}\) (starting at line 141 ) to choose the first six records for the SRS.

Sampling Greenville County. The rails to trails program involves the conversion of old rail corridors into multipurpose trails for recreation and transportation. Researchers were interested in obtaining information on characteristics of users and nonusers of a 10 -mile-long paved greenway trail in Greenville, South Carolina, that connects residential areas to both a university campus and the commercial downtown area of the city. Random digit dialing of residential numbers was done using a database of exchanges. A total of 2461 persons were contacted, and 726 of them completed the survey. When a household was reached, surveyors asked to speak to the adult over 18 with the next birthday. No cell phone numbers \(\mathrm{~ w e r e ~ i n c l u d e d ~ i n ~ t h e ~ s a m p l e . ? ? ?}\) a. What is the population of interest? What is the response rate for the survey? b. The following table gives the number of adults between 18 and 64 and over 65 in both the sample and the county (only 689 of the 726 respondents to the survey provided data on their ages). The county counts were obtained from the U.S. Census Bureau: What percentage of the sample is between 18 and 64? What percentage of the population is between 18 and 64? Does this difference surprise you, given the sampling method described? Explain briefly. c. Among the 726 respondents, 181 , or \(24.9 \%\), reported having used the trail in the past six months. Do you think this sampling method gives biased information about the percentage of Greenville County adults who have used the trail in the past six months? What is the likely direction of bias? Explain briefly.

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