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The amount of syrup that people put on their pancakes is normally distributed with mean 57 mL and standard deviation 7 mL. Suppose that 50 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 7 b. What is the distribution of x? a - N( 57 c. If a single randomly selected individual is observed, find the probability that this person consumes is between 55.5 mL and 56.7 mL. d. For the group of 50 pancake eaters, find the probability that the average amount of syrup is between 55.5 mL and 56.7 mL. 0.0677 e. For part d), is the assumption that the distribution is normal necessary? O Yes No Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+1 • Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums [+] Hint

The amount of syrup that people put on their pancakes is normally distributed with mean 57 mL and standard deviation 7 mL. Suppose that 50 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 7 b. What is the distribution of x? a - N( 57 c. If a single randomly selected individual is observed, find the probability that this person consumes is between 55.5 mL and 56.7 mL. d. For the group of 50 pancake eaters, find the probability that the average amount of syrup is between 55.5 mL and 56.7 mL. 0.0677 e. For part d), is the assumption that the distribution is normal necessary? O Yes No Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+1 • Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums [+] Hint

MATLAB: An Introduction with Applications
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 57 mL and standard deviation 7 mL. Suppose that 50 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 7 b. What is the distribution of x? a - N( 57 c. If a single randomly selected individual is observed, find the probability that this person consumes is between 55.5 mL and 56.7 mL. d. For the group of 50 pancake eaters, find the probability that the average amount of syrup is between 55.5 mL and 56.7 mL. 0.0677 e. For part d), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+1 • Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums 2 [+] Hint
Transcribed Image Text:The amount of syrup that people put on their pancakes is normally distributed with mean 57 mL and standard deviation 7 mL. Suppose that 50 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 7 b. What is the distribution of x? a - N( 57 c. If a single randomly selected individual is observed, find the probability that this person consumes is between 55.5 mL and 56.7 mL. d. For the group of 50 pancake eaters, find the probability that the average amount of syrup is between 55.5 mL and 56.7 mL. 0.0677 e. For part d), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+1 • Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums 2 [+] Hint
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