The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 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. a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High:
The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 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. a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High:
MATLAB: An Introduction with Applications
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![### Understanding Sodium Consumption in American Men
The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let \( X \) represent the amount of sodium consumed. Please round all numeric answers to 4 decimal places where possible.
#### a. Distribution of \( X \)
\[ X \sim N(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_) \]
- Fill in the mean and standard deviation values.
#### b. Probability Calculation
Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day.
\[ P(9.2 \leq X \leq 10.1) = \_\_\_\_\_\_\_\_ \]
#### c. Middle 20% of Sodium Consumption
Determine the weights of sodium that correspond to the middle 20% of consumption among American men.
- **Low:** \[\_\_\_\_\_\_\_\_\]
- **High:** \[\_\_\_\_\_\_\_\_\]
These calculations are essential in understanding the distribution and consumption patterns of sodium among American men, which has implications for dietary guidelines and health initiatives.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52bde6f1-de69-4d5b-bf13-f82b423cf0e9%2Ff8d7db8a-7c45-434b-85e4-21b0ad0ca37c%2Fwf9n2b_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Sodium Consumption in American Men
The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let \( X \) represent the amount of sodium consumed. Please round all numeric answers to 4 decimal places where possible.
#### a. Distribution of \( X \)
\[ X \sim N(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_) \]
- Fill in the mean and standard deviation values.
#### b. Probability Calculation
Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day.
\[ P(9.2 \leq X \leq 10.1) = \_\_\_\_\_\_\_\_ \]
#### c. Middle 20% of Sodium Consumption
Determine the weights of sodium that correspond to the middle 20% of consumption among American men.
- **Low:** \[\_\_\_\_\_\_\_\_\]
- **High:** \[\_\_\_\_\_\_\_\_\]
These calculations are essential in understanding the distribution and consumption patterns of sodium among American men, which has implications for dietary guidelines and health initiatives.
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