1. A GMS Boutique accepts three types of payments – Cash Payment, Automated Teller Machine Card (ATM) and Credit Card. The manager is interested in finding out whether there is a difference in the mean amounts charged by costumers on three types of payments. A random sample of 18 purchases (rounded to the nearest peso) revealed these | amounts.

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
1. A GMS Boutique accepts three types of payments – Cash Payment, Automated Teller
Machine Card (ATM) and Credit Card. The manager is interested in finding out whether
there is a difference in the mean amounts charged by costumers on three types of
payments. A random sample of 18 purchases (rounded to the nearest peso) revealed these
amounts.
P3,400
P 1,300
1,400
1, 500
Cash Payment
P2,000
P1,700
P1,900
2,200
2,100
P2,800
4,000
3,000
1,500
4,200
2,500
1,600
ATM
3,300
1,800
Credit Card
At 0.05 level of significance, can we conclude that there is a difference in the
mean amounts purchase according to the modes of payments?
Solution:
Step 1: State the hypotheses.
Ho:
H;:
Step 2: The level of significance is
Step 3: determine the degrees of freedom and the critical value of F.
df=
dfwg =
and
critical
Step 4: Complete the table and compute for the value of F.
Degrees of
Freedom
Source of
Sum of
Mean of
F
Variations
Squares
Squares
Between
Groups
Within Groups
Total
Step 5: Decision Rule.
Step 6: Conclusion.
Transcribed Image Text:1. A GMS Boutique accepts three types of payments – Cash Payment, Automated Teller Machine Card (ATM) and Credit Card. The manager is interested in finding out whether there is a difference in the mean amounts charged by costumers on three types of payments. A random sample of 18 purchases (rounded to the nearest peso) revealed these amounts. P3,400 P 1,300 1,400 1, 500 Cash Payment P2,000 P1,700 P1,900 2,200 2,100 P2,800 4,000 3,000 1,500 4,200 2,500 1,600 ATM 3,300 1,800 Credit Card At 0.05 level of significance, can we conclude that there is a difference in the mean amounts purchase according to the modes of payments? Solution: Step 1: State the hypotheses. Ho: H;: Step 2: The level of significance is Step 3: determine the degrees of freedom and the critical value of F. df= dfwg = and critical Step 4: Complete the table and compute for the value of F. Degrees of Freedom Source of Sum of Mean of F Variations Squares Squares Between Groups Within Groups Total Step 5: Decision Rule. Step 6: Conclusion.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
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