Panera Bread has found that 27% of customers purchase more than one cup of coffee per day from their shops. Suppose you randomly choose 185 of today's Panera Bread customers.  Find the probability that no less than 33% of them purchased more than one cup of coffee from Panera. (Round to four decimals)

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
Topic Video
Question

Panera Bread has found that 27% of customers purchase more than one cup of coffee per day from their shops. Suppose you randomly choose 185 of today's Panera Bread customers. 

Find the probability that no less than 33% of them purchased more than one cup of coffee from Panera. (Round to four decimals)

Expert Solution
Step 1

We are given the Population proportion of customers who purchase more than 1 coffee per day, P = 0.27

Sample size , n = 187

 Let "p" be the sample proportion of customers who purchase more than 1 coffee per day.

Since the sample proportion "p" is approximately normally distributed for large samples with mean P and standard deviation P(1-P)/n.

 

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
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