The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 6 ounces. 8 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.What is the distribution of XX? XX ~ N( , )What is the distribution of ¯xx¯? ¯xx¯ ~ N( , )What is the probability that one randomly selected person drinks between 14 and 16.5 ounces of coffee per day? For the 8 people, find the probability that the average coffee consumption is between 14 and 16.5 ounces of coffee per day. For part d), is the assumption that the distribution is normal necessary? Yes OR NoFind the IQR for the average of 8 coffee drinkers.Q1 = ouncesQ3 = ouncesIQR: ounces

According our policy we can answer only first three subpart for remaining please repost the question. Solution : 1) Population Mean,μ = 15.0 Population Standard Deviation,σ = 6.0 X follows normal distribution with population mean,μ = 15.0 and population standard deviation ,σ = 6.0 I.e X ~ N ( μ = 15.0 ,σ = 6.0 )2) sample size n = 8 μ_x̄ = μ = 15.0 σ_x̄ = σ/√n = 6.0 /√ 8 = 2.1213 x̄ is a random variable follows normal distribution x̄~N(μ_x̄ = 15.0 σ_x̄ = 2.1213 )3) = p ( -0.17 < Z < 0.25 ) = P( Z < 0.25 ) - P ( Z < -0.17 ) = 0.5987 - 0.4325 (-----from z table ) = 0.1662 The required probability is 0.1662

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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 15 ounces and a standard deviation of 6 ounces. 8 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

What is the distribution of XX? XX ~ N( , )
What is the distribution of ¯xx¯? ¯xx¯ ~ N( , )
What is the probability that one randomly selected person drinks between 14 and 16.5 ounces of coffee per day?
For the 8 people, find the probability that the average coffee consumption is between 14 and 16.5 ounces of coffee per day.
For part d), is the assumption that the distribution is normal necessary? Yes OR No
Find the IQR for the average of 8 coffee drinkers.
Q1 = ounces
Q3 = ounces
IQR: ounces

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