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The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 9 mL. Suppose that 13 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 59 ✓ 9 ✓ OF b. What is the distribution of a? N 59 ✓ 2.4962 ✓ c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60.1 mL and 62.9 mL. d. For the group of 13 pancake eaters, find the probability that the average amount of syrup is between 60.1 mL and 62.9 mL. e. For part d), is the assumption that the distribution is normal necessary? No Yes d Textbook Pages 5.71/10 pts 2-399 Submit Question Question 3 میں Details

The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 9 mL. Suppose that 13 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 59 ✓ 9 ✓ OF b. What is the distribution of a? N 59 ✓ 2.4962 ✓ c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60.1 mL and 62.9 mL. d. For the group of 13 pancake eaters, find the probability that the average amount of syrup is between 60.1 mL and 62.9 mL. e. For part d), is the assumption that the distribution is normal necessary? No Yes d Textbook Pages 5.71/10 pts 2-399 Submit Question Question 3 میں Details

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 9 mL. Suppose that 13 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 59 ✓ 9 ✓ OF b. What is the distribution of a? N 59 ✓ 2.4962 ✓ c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60.1 mL and 62.9 mL. d. For the group of 13 pancake eaters, find the probability that the average amount of syrup is between 60.1 mL and 62.9 mL. e. For part d), is the assumption that the distribution is normal necessary? No Yes Textbook Pages 5.71/10 pts 2-399 Submit Question Question 3 میں Details
Transcribed Image Text:The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 9 mL. Suppose that 13 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 59 ✓ 9 ✓ OF b. What is the distribution of a? N 59 ✓ 2.4962 ✓ c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60.1 mL and 62.9 mL. d. For the group of 13 pancake eaters, find the probability that the average amount of syrup is between 60.1 mL and 62.9 mL. e. For part d), is the assumption that the distribution is normal necessary? No Yes Textbook Pages 5.71/10 pts 2-399 Submit Question Question 3 میں Details
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