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.
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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde382bf4-e127-4837-b986-a1dde481f7b6%2Ff406f800-b5c0-49e4-bf68-6c696e485d46%2Fi12178j_processed.jpeg&w=3840&q=75)
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.
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