The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 9 mL. Suppose that 10 randomly selected people are observed pouring syrup on their pancakes. 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(,)If a single randomly selected individual is observed, find the probability that this person consumes is between 59.8 mL and 61.2 mL.For the group of 10 pancake eaters, find the probability that the average amount of syrup is between 59.8 mL and 61.2 mL.For part d), is the assumption that the distribution is normal necessary? YesNo Hint:

Answered: The amount of syrup that people put on…

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 syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 9 mL. Suppose that 10 randomly selected people are observed pouring syrup on their pancakes. 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(,)
If a single randomly selected individual is observed, find the probability that this person consumes is between 59.8 mL and 61.2 mL.
For the group of 10 pancake eaters, find the probability that the average amount of syrup is between 59.8 mL and 61.2 mL.
For part d), is the assumption that the distribution is normal necessary? YesNo

Hint:

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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