It is reported that the average American eats out at a restaurant 5.9 times per week. A random sample of 40 Americans showed that the average amount of times they ate out at a restaurant per week was 5.1 times with a standard deviation of 1.7.  Is there enough evidence at the 5% level that the average American eats out less than 5.9 times per week? What is the set up for the problem?: a) u = 5.1, x-bar = 5.9, o = 1.7, SE = 1.7/40 = 0.0425, z-score = 2.98, p-value: 0.025 b) u = 5.9, x-bar = 5.1, o = 1.7, SE = 1.7/sqrt(40) = 0.2688, z-score = -2.98, p-value: 0.0025 c) u = 5.9, x-bar = 5.1, o = 1.7, SE = 1.7/sqrt(40) = 0.2688, z-score = 2.98, p-value: 2.5 d) u = 5.1, x-bar = 5.9, o = 1.7, SE = 1.7/40 = 0.0425, z-score = -2.98, p-value: 0.0025

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

It is reported that the average American eats out at a restaurant 5.9 times per week. A random sample of 40 Americans showed that the average amount of times they ate out at a restaurant per week was 5.1 times with a standard deviation of 1.7.  Is there enough evidence at the 5% level that the average American eats out less than 5.9 times per week?

What is the set up for the problem?:

a) u = 5.1, x-bar = 5.9, o = 1.7, SE = 1.7/40 = 0.0425, z-score = 2.98, p-value: 0.025

b) u = 5.9, x-bar = 5.1, o = 1.7, SE = 1.7/sqrt(40) = 0.2688, z-score = -2.98, p-value: 0.0025

c) u = 5.9, x-bar = 5.1, o = 1.7, SE = 1.7/sqrt(40) = 0.2688, z-score = 2.98, p-value: 2.5

d) u = 5.1, x-bar = 5.9, o = 1.7, SE = 1.7/40 = 0.0425, z-score = -2.98, p-value: 0.0025

Expert Solution
steps

Step by step

Solved in 3 steps with 1 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