The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 5 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.What is the distribution of X? X ~ N( , )What is the distribution of x¯? x¯ ~ N( , )What is the probability that one randomly selected person drinks between 13.5 and 14.1 ounces of coffee per day? For the 34 people, find the probability that the average coffee consumption is between 13.5 and 14.1 ounces of coffee per day. For part d), is the assumption that the distribution is normal necessary? No Yes The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standarddeviation of 5 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X~ N(b. What is the distribution of x? a ~ N(c. What is the probability that one randomly selected person drinks between 13.5 and 14.1 ounces of coffee per day?d. For the 34 people, find the probability that the average coffee consumption is between 13.5 and 14.1 ounces ofcoffee per day.e. For part d), is the assumption that the distribution is normal necessary?NoYesGet help: Written Example

Determine the distribution of the random variable X follows. The distribution of the random variable…

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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 14 ounces and a standard deviation of 5 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

What is the distribution of X? X ~ N( , )
What is the distribution of x¯? x¯ ~ N( , )
What is the probability that one randomly selected person drinks between 13.5 and 14.1 ounces of coffee per day?
For the 34 people, find the probability that the average coffee consumption is between 13.5 and 14.1 ounces of coffee per day.
For part d), is the assumption that the distribution is normal necessary? No Yes

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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