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
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8ee82f0-91d5-4122-acf4-58c9c0d2b70b%2F0635c5a1-1359-41bf-9e08-56b0fbd1b1f4%2F89dlpg_processed.jpeg&w=3840&q=75)

Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images









