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.

Given Mean =16, standard deviations σ=5 n=sample size=17 Note: According to Bartleby guidelines…

Answered: The amount of coffee that people drink…

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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