A company conducts a consumer research project to examine whether a significant difference in customer satisfaction exists between its customers in Sydney, Melbourne, and Newcastle. Customer satisfaction is measured using a scale ranging from 1 to 7 where 1 represents very dissatisfied, 4 represents neither satisfied nor dissatisfied and 7 represents very satisfied. Ten customers from each of the three cities participate in the research. The Excel output of the research is presented below: Customer Satisfaction Location Mean N Std. Deviation Melbourne 3.4000 10 1.26491 Newcastle 4.9000 10 1.19722 Sydney Total 3.1000 10 1.28668 3.8000 30 1.44795 Customer Satisfaction Sum of Mean df F Sig. Squares Square Between 18.600 2 9.300 5.950 .007 Groups Within 42.200 27 1.563 Groups Total 29 60.800 You are required to answer the following: a. Explain which statistical test is appropriate to examine whether there is a difference in the mean satisfaction level among the three locations at 5% significance level. b. Write the null and alternative hypotheses. c. Should you reject the null hypothesis? Explain the conclusion of this analysis.
A company conducts a consumer research project to examine whether a significant difference in customer satisfaction exists between its customers in Sydney, Melbourne, and Newcastle. Customer satisfaction is measured using a scale ranging from 1 to 7 where 1 represents very dissatisfied, 4 represents neither satisfied nor dissatisfied and 7 represents very satisfied. Ten customers from each of the three cities participate in the research. The Excel output of the research is presented below: Customer Satisfaction Location Mean N Std. Deviation Melbourne 3.4000 10 1.26491 Newcastle 4.9000 10 1.19722 Sydney Total 3.1000 10 1.28668 3.8000 30 1.44795 Customer Satisfaction Sum of Mean df F Sig. Squares Square Between 18.600 2 9.300 5.950 .007 Groups Within 42.200 27 1.563 Groups Total 29 60.800 You are required to answer the following: a. Explain which statistical test is appropriate to examine whether there is a difference in the mean satisfaction level among the three locations at 5% significance level. b. Write the null and alternative hypotheses. c. Should you reject the null hypothesis? Explain the conclusion of this analysis.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A company conducts a consumer research project to examine whether a significant difference in customer satisfaction exists between its customers in
Sydney, Melbourne, and Newcastle. Customer satisfaction is measured using a scale ranging from 1 to 7 where 1 represents very dissatisfied, 4 represents
neither satisfied nor dissatisfied and 7 represents very satisfied. Ten customers from each of the three cities participate in the research. The Excel output of
the research is presented below:
Customer Satisfaction
Location
Mean
N
Std. Deviation
Melbourne
3.4000
10
1.26491
Newçastle
4.9000
10
1.19722
Sydney
3.1000
10
1.28668
Total
3.8000
30
1.44795
Customer Satisfaction
Sum of
Mean
df
F
Sig.
Squares
Square
Between
18.600
2
9.300
5.950
.007
Groups
Within
42.200
27
1.563
Groups
Total
60.800
29
You are required to answer the following:
a. Explain which statistical test is appropriate to examine whether there is a difference in the mean satisfaction level among the three locations at 5%
significance level.
b. Write the null and alternative hypotheses.
c. Should you reject the null hypothesis? Explain the conclusion of this analysis.
d. Are there any further tests you could conduct to better understand the difference in the mean?
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