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.What is the probability that one randomly selected person drinks between 15 and 17 ounces of coffee per day? Find the IQR for the average of 17 coffee drinkers.Q1 = ___________ouncesQ3 = ___________ouncesIQR: ___________ounces

given data μ = 16σ = 5n = 17(a) P(15<x<17)=P(15-165<x-μσ<17-165)=P(-0.2<z<0.2)=P(z<0.2)-P(Z<-0.2)=0.57926-0.42074 [from excel function =NORMSDIST(0.2) and =NORMSDIST(-0.2) ]=0.1585(b) for averageQ1: P(x¯<z) = 0.25Z = -0.674Z = x¯ - μσn-0.674 = x¯ - 16517x¯ = 15.1827Q1 : 15.1827 ounces(c) for averageQ3: P(x¯<z) = 0.75Z = 0.674Z = x¯ - μσn0.674 = x¯ - 16517x¯ = 16.8173Q3 : 16.8173 ouncesIQR = Q3-Q1 = 16.8173-15.1827 = 1.6346 ounces

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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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.

What is the probability that one randomly selected person drinks between 15 and 17 ounces of coffee per day?
Find the IQR for the average of 17 coffee drinkers.
Q1 = ___________ounces
Q3 = ___________ounces
IQR: ___________ounces

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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