The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X= percent of fat caiories D Part (a) O Part (b) O Part (c) Find the maximum number for the lower quarter of percent of fat calories. (Round your answer to two decimal places.) Sketch the graph. 10 20 30 40 50 60 70 10 20 30 40 50 60 70 10 20 30 40 50 60 70 10 20 30 40 50 60 70 Write the probablity statement. (Round your answer to two decimal places.) 1% of their calories as fat Approximately 25% of people consume-Select-v than

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**Educational Content: Analyzing Fat Calorie Distribution**

**Overview:**
The percentage of fat calories that an average person in America consumes daily is typically distributed with a mean value of 36% and a standard deviation of 10%. To explore this distribution, let's analyze this data using statistical methods. We select a random individual and denote \( X \) as the percentage of fat calories.

**Task:**
Determine the maximum percentage value that falls within the lower quartile of the fat calorie distribution. You'll need to round your calculations to two decimal places.

**Process:**
1. **Sketch the Graph:**
   - Interpret the normal distribution graph. The graph helps in visualizing the probability distribution of fat calorie percentages ranging from 0 to 70%.
   
2. **Graphs Explanation:**
   - There are four graphs shown, each representing a normal distribution curve centered at 36% (mean value) with varying shaded areas representing different quartile sections. The graphs range from 0% to 70% along the x-axis.

3. **Probability Calculation:**
   - Write the probability statement and compute the value by calculating where approximately 25% of people fall in terms of fat calorie consumption.
   - You will need to find the cutoff point where the lower 25% of the distribution lies.

**Task Completion:**
- Fill in the statement: "Approximately 25% of people consume ___% of their calories as fat."
- Choose the appropriate graph that reflects the computed quartile percentage.
- Click on the corresponding option to denote your selection of the correct shaded graph.

Remember to round your answers for precision and clarity in analysis.
Transcribed Image Text:**Educational Content: Analyzing Fat Calorie Distribution** **Overview:** The percentage of fat calories that an average person in America consumes daily is typically distributed with a mean value of 36% and a standard deviation of 10%. To explore this distribution, let's analyze this data using statistical methods. We select a random individual and denote \( X \) as the percentage of fat calories. **Task:** Determine the maximum percentage value that falls within the lower quartile of the fat calorie distribution. You'll need to round your calculations to two decimal places. **Process:** 1. **Sketch the Graph:** - Interpret the normal distribution graph. The graph helps in visualizing the probability distribution of fat calorie percentages ranging from 0 to 70%. 2. **Graphs Explanation:** - There are four graphs shown, each representing a normal distribution curve centered at 36% (mean value) with varying shaded areas representing different quartile sections. The graphs range from 0% to 70% along the x-axis. 3. **Probability Calculation:** - Write the probability statement and compute the value by calculating where approximately 25% of people fall in terms of fat calorie consumption. - You will need to find the cutoff point where the lower 25% of the distribution lies. **Task Completion:** - Fill in the statement: "Approximately 25% of people consume ___% of their calories as fat." - Choose the appropriate graph that reflects the computed quartile percentage. - Click on the corresponding option to denote your selection of the correct shaded graph. Remember to round your answers for precision and clarity in analysis.
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