Questions: Identify the population, the sample, and any population parameters or sample statistics in the given scenario. Of the 1689 people in the U.S. surveyed by Fit and Healthy magazine, 826 reported being self-conscious about their weight.

Identify the population, the sample, and any population parameters or sample statistics in the given scenario. Of the 1689 people in the U.S. surveyed by Fit and Healthy magazine, 826 reported being self-conscious about their weight.
Transcript text: Identify the population, the sample, and any population parameters or sample statistics in the given scenario. Of the 1689 people in the U.S. surveyed by Fit and Healthy magazine, 826 reported being self-conscious about their weight.
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Solution

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Solution Steps

To identify the population, sample, and any population parameters or sample statistics in the given scenario, we need to understand the definitions:

  • Population: The entire group that is the subject of the study.
  • Sample: A subset of the population that is surveyed or studied.
  • Population Parameter: A value that represents a characteristic of the entire population.
  • Sample Statistic: A value that represents a characteristic of the sample.

In this scenario:

  • The population is the entire U.S. population.
  • The sample is the 1689 people surveyed.
  • The sample statistic is the 826 people who reported being self-conscious about their weight.
Step 1: Identify the Population

The population in this scenario is the entire U.S. population, which we denote as \( P \).

Step 2: Identify the Sample

The sample consists of the 1689 people surveyed, represented as \( n = 1689 \).

Step 3: Identify the Sample Statistic

The sample statistic is the number of individuals from the sample who reported being self-conscious about their weight, which is \( s = 826 \).

Final Answer

  • Population: \( P = \text{U.S. population} \)
  • Sample: \( n = 1689 \)
  • Sample Statistic: \( s = 826 \)

Thus, the final boxed answer is: \[ \boxed{ \begin{align_} \text{Population} & : P = \text{U.S. population} \\ \text{Sample} & : n = 1689 \\ \text{Sample Statistic} & : s = 826 \end{align_} } \]

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