Exercise: The Two-Sample Hotelling's T-Square Test Two bars of soap are manufactured in each of two ways. n = n2 = 50. Two characteristics X1 = lather and X2 = mildness are measured. The sample mean vector and sample variance-covariance matrices for method 1 and 2 are: 8. 10 4 and ( ) 2 1 2 1 S1 = 1 6 S2 1 4 Interest is in testing the equality of the two population mean vectors. Given a = 0.05 and F2,97,0.95 = 3.09, state the alternative hypothesis, the decision rule and the conclusion. %3D

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
Exercise: The Two-Sample Hotelling's T-Square Test
Two bars of soap are manufactured in each of two ways.
n = n2 = 50. Two characteristics X1 = lather and X2 = mildness
are measured. The sample mean vector and sample
variance-covariance matrices for method 1 and 2 are:
() * - (")
8.
10
X1
4
4
and
2 1
2 1
S2
1 6
1 4
Interest is in testing the equality of the two population mean
vectors. Given a = 0.05 and F2.97,0.95 = 3.09, state the alternative
hypothesis, the decision rule and the conclusion.
Transcribed Image Text:Exercise: The Two-Sample Hotelling's T-Square Test Two bars of soap are manufactured in each of two ways. n = n2 = 50. Two characteristics X1 = lather and X2 = mildness are measured. The sample mean vector and sample variance-covariance matrices for method 1 and 2 are: () * - (") 8. 10 X1 4 4 and 2 1 2 1 S2 1 6 1 4 Interest is in testing the equality of the two population mean vectors. Given a = 0.05 and F2.97,0.95 = 3.09, state the alternative hypothesis, the decision rule and the conclusion.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Equality of Variances
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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