The average American man consumes 9.9 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. %3D

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### Sodium Consumption by American Men

The average American man consumes 9.9 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 gram. Suppose an American man is randomly chosen. Let \( X \) represent the amount of sodium consumed. Round all numeric answers to four decimal places where possible.

#### Questions:

**a. What is the distribution of \( X \)?**  
\( X \sim N( \, \_\_\_\_ , \, \_\_\_\_ ) \) [Normal distribution]

**b. Find the probability that this American man consumes between 9.6 and 11.5 grams of sodium per day.**  
[Probability calculation box]

**c. The middle 30% of American men consume between what two weights of sodium?**  
- **Low:** [Input Box]  
- **High:** [Input Box]  

---

The problem involves understanding normal distribution and using statistical methods to calculate probabilities and percentiles related to sodium consumption.
Transcribed Image Text:### Sodium Consumption by American Men The average American man consumes 9.9 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 gram. Suppose an American man is randomly chosen. Let \( X \) represent the amount of sodium consumed. Round all numeric answers to four decimal places where possible. #### Questions: **a. What is the distribution of \( X \)?** \( X \sim N( \, \_\_\_\_ , \, \_\_\_\_ ) \) [Normal distribution] **b. Find the probability that this American man consumes between 9.6 and 11.5 grams of sodium per day.** [Probability calculation box] **c. The middle 30% of American men consume between what two weights of sodium?** - **Low:** [Input Box] - **High:** [Input Box] --- The problem involves understanding normal distribution and using statistical methods to calculate probabilities and percentiles related to sodium consumption.
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