Questions: Insurance companies are interested in the mean health costs each year of their clients, so that they can determine the costs of h following in terms of the study. Give examples where appropriate. Part (a) The population The population is a random selection of the insurance companies. The population is all of the insurance companies. The population is all of the clients of the insurance companies. The population is a random selection of all of the clients of the insurance companies. Part (b) Part (c)

Insurance companies are interested in the mean health costs each year of their clients, so that they can determine the costs of h following in terms of the study. Give examples where appropriate. Part (a) The population The population is a random selection of the insurance companies. The population is all of the insurance companies. The population is all of the clients of the insurance companies. The population is a random selection of all of the clients of the insurance companies. Part (b) Part (c)
Transcript text: Insurance companies are interested in the mean health costs each year of their clients, so that they can determine the costs of $h$ following in terms of the study. Give examples where appropriate. $\square$ Part (a) The population The population is a random selection of the insurance companies. The population is all of the insurance companies. The population is all of the clients of the insurance companies. The population is a random selection of all of the clients of the insurance companies. Part (b) Part (c)
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Solution

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Solution Steps

Solution Approach

For Part (a), we need to identify the correct definition of the population in the context of the study. The population refers to the entire group that is being studied or about which we want to draw conclusions. In this case, since the study is about the mean health costs of clients, the population should be all of the clients of the insurance companies.

For Part (b) and Part (c), since the question does not provide specific details or calculations, we will not address them.

Step 1: Understanding the Question

The question is asking us to identify the correct definition of the "population" in the context of a study conducted by insurance companies to determine the mean health costs of their clients each year.

Step 2: Analyzing the Options

We have four options to choose from:

  1. The population is a random selection of the insurance companies.
  2. The population is all of the insurance companies.
  3. The population is all of the clients of the insurance companies.
  4. The population is a random selection of all of the clients of the insurance companies.
Step 3: Determining the Correct Option

In the context of the study, the insurance companies are interested in the mean health costs of their clients. Therefore, the population should be related to the clients, not the insurance companies themselves. The most comprehensive definition of the population in this context would be all of the clients of the insurance companies, as this would provide the most accurate data for determining mean health costs.

Final Answer

The correct definition of the population in this context is:

\[ \boxed{\text{The population is all of the clients of the insurance companies.}} \]

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