Carry out a test to investigate whether the new delivery scheduling has improved customer satisfaction. Specifically, you must (a) define any new notation, (b) briefly justify your testing procedure, (c) state the hypotheses, (d) calculate the test statistic and show your calculation steps, (e) use both critical value and p-value approach, (f) make a decision for the test and briefly explain. HINT: Var(A-B)=Var(A)+Var(B)-2* Cov(A,B)

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
A national freight delivery service is considering introducing a same-day delivery service at no extra
cost. It randomly selected customers in its business areas and recorded the customer satisfaction
scores. The score range is between 1-100, where 100 is the highest customer satisfaction.
Define X1 as the satisfaction score with ordinary deliveries and X2 as the satisfaction score for the
same customers with same day deliveries. Some summary statistics are given as
The sample mean of X1 is
The sample variance of X1 is
The sample mean of X2 is
The sample variance of X2 is
The sample covariance between
X1 and X2 is
The sample size is
44.20
142.75
53.86
103.39
81.43
56
Transcribed Image Text:A national freight delivery service is considering introducing a same-day delivery service at no extra cost. It randomly selected customers in its business areas and recorded the customer satisfaction scores. The score range is between 1-100, where 100 is the highest customer satisfaction. Define X1 as the satisfaction score with ordinary deliveries and X2 as the satisfaction score for the same customers with same day deliveries. Some summary statistics are given as The sample mean of X1 is The sample variance of X1 is The sample mean of X2 is The sample variance of X2 is The sample covariance between X1 and X2 is The sample size is 44.20 142.75 53.86 103.39 81.43 56
Carry out a test to investigate whether the new delivery scheduling has improved customer
satisfaction.
Specifically, you must
(a) define any new notation,
(b) briefly justify your testing procedure,
(c) state the hypotheses,
(d) calculate the test statistic and show your calculation steps,
(e) use both critical value and p-value approach,
(f) make a decision for the test and briefly explain.
HINT: Var(A-B)=Var(A)+Var(B)-2* Cov(A,B)
Transcribed Image Text:Carry out a test to investigate whether the new delivery scheduling has improved customer satisfaction. Specifically, you must (a) define any new notation, (b) briefly justify your testing procedure, (c) state the hypotheses, (d) calculate the test statistic and show your calculation steps, (e) use both critical value and p-value approach, (f) make a decision for the test and briefly explain. HINT: Var(A-B)=Var(A)+Var(B)-2* Cov(A,B)
Expert Solution
steps

Step by step

Solved in 7 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE 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