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The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 5 ounces. 17 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 16 b. What is the distribution of ? N 16 c. What is the probability that one randomly selected person drinks between 15 and 17 ounces of coffee per day? 5 or or

The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 5 ounces. 17 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 16 b. What is the distribution of ? N 16 c. What is the probability that one randomly selected person drinks between 15 and 17 ounces of coffee per day? 5 or or

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The image describes a statistical analysis related to coffee consumption. It outlines a problem involving a normal distribution concerning the amount of coffee people drink per day. The mean is 16 ounces and the standard deviation is 5 ounces. The solutions involve calculations for a sample of 17 people, and all answers should be rounded to four decimal places where possible. a. **Distribution of \( X \)**: \( X \sim N(16, 5) \) b. **Distribution of \( \bar{x} \)**: \( \bar{x} \sim N\left(16, \frac{5}{\sqrt{17}}\right) \) c. **Probability for one person drinking between 15 and 17 ounces per day**: [Text box for answer] d. **Probability that the average coffee consumption is between 15 and 17 ounces for 17 people**: [Text box for answer] e. **Necessity of normal distribution assumption for part d**: Yes (Option selected: Yes) f. **Finding the IQR (Interquartile Range) for the average of 17 coffee drinkers**: - **Q1**: [Text box for answer] - **Q3**: [Text box for answer] - **IQR**: [Text box for answer] The form includes fillable fields to input calculated probabilities, quartiles, and IQR.
Transcribed Image Text:The image describes a statistical analysis related to coffee consumption. It outlines a problem involving a normal distribution concerning the amount of coffee people drink per day. The mean is 16 ounces and the standard deviation is 5 ounces. The solutions involve calculations for a sample of 17 people, and all answers should be rounded to four decimal places where possible. a. **Distribution of \( X \)**: \( X \sim N(16, 5) \) b. **Distribution of \( \bar{x} \)**: \( \bar{x} \sim N\left(16, \frac{5}{\sqrt{17}}\right) \) c. **Probability for one person drinking between 15 and 17 ounces per day**: [Text box for answer] d. **Probability that the average coffee consumption is between 15 and 17 ounces for 17 people**: [Text box for answer] e. **Necessity of normal distribution assumption for part d**: Yes (Option selected: Yes) f. **Finding the IQR (Interquartile Range) for the average of 17 coffee drinkers**: - **Q1**: [Text box for answer] - **Q3**: [Text box for answer] - **IQR**: [Text box for answer] The form includes fillable fields to input calculated probabilities, quartiles, and IQR.
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