The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 10 mL. Suppose that 6 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 - N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 61.3 mL and 66.4 mL. d. For the group of 6 pancake eaters, find the probability that the average amount of syrup is between 61.3 mL and 66.4 mL.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

7

The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL
and standard deviation 10 mL. Suppose that 6 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 ~ N(
c. If a single randomly selected individual is observed, find the probability that this person
consumes is between 61.3 mL and 66.4 mL.
d. For the group of 6 pancake eaters, find the probability that the average amount of syrup is
between 61.3 mL and 66.4 mL.
Transcribed Image Text:The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 10 mL. Suppose that 6 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 ~ N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 61.3 mL and 66.4 mL. d. For the group of 6 pancake eaters, find the probability that the average amount of syrup is between 61.3 mL and 66.4 mL.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman