The amount of syrup that people put on their pancakes is normally distributed with mean 65 mL and standard deviation 13 mL. Suppose that 16 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( b. What is the distribution of T? I ~ N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 67.2 mL and 68.8 mL. Cu

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The amount of syrup that people put on their pancakes is normally distributed with mean 65 mL and
standard deviation 13 mL. Suppose that 16 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(
b. What is the distribution of T? I ~ N(
c. If a single randomly selected individual is observed, find the probability that this person consumes is
between 67.2 mL and 68.8 mL.
d. For the group of 16 pancake eaters, find the probability that the average amount of syrup is between
67.2 mL and 68.8 mL.
e. For part d), is the assumption that the distribution is normal necessary? No Yes
Transcribed Image Text:The amount of syrup that people put on their pancakes is normally distributed with mean 65 mL and standard deviation 13 mL. Suppose that 16 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( b. What is the distribution of T? I ~ N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 67.2 mL and 68.8 mL. d. For the group of 16 pancake eaters, find the probability that the average amount of syrup is between 67.2 mL and 68.8 mL. e. For part d), is the assumption that the distribution is normal necessary? No Yes
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