1. Consider the hypothesis test Ho: o2 = 02 against H₁: o2 #02. Suppose that the sample sizes are n₁ = 9 and n₂ = 10, and the sample variances are s2=2.35 and s2=4.55. Use α=0.05. (a) Test the hypothesis by using the critical regions. (b) Test the hypothesis by using the confidence interval on 02/02 (c) Test the hypothesis by using the p-value.

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

dont use excel please

1. Consider the hypothesis test Ho: 01
=
o2 against H₁: o2 o2. Suppose that the
sample sizes are n₁ = 9 and n₂ = 10, and the sample variances are s2=2.35 and s2=4.55.
Use α=0.05.
(a) Test the hypothesis by using the critical regions.
(b) Test the hypothesis by using the confidence interval on o2²/02
(c) Test the hypothesis by using the p-value.
2. Two different types of polishing solutions are being evaluated for possible use in a
tumble-polish operation for manufacturing interocular lenses used in the human eye
following cataract surgery. Three hundred lenses were tumble polished using the first
polishing solution, and the of this number, 253 had no polishing-induced defects. Another
300 lenses were tumble-polished using the second polishing solution, and 196 lenses
were satisfactory upon completion. Use α=0.05.
(a) Test the hypothesis that the two polishing solutions differ by using the p-value.
(b) Test the hypothesis by using a confidence interval on p₁ - P2.
Transcribed Image Text:1. Consider the hypothesis test Ho: 01 = o2 against H₁: o2 o2. Suppose that the sample sizes are n₁ = 9 and n₂ = 10, and the sample variances are s2=2.35 and s2=4.55. Use α=0.05. (a) Test the hypothesis by using the critical regions. (b) Test the hypothesis by using the confidence interval on o2²/02 (c) Test the hypothesis by using the p-value. 2. Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing interocular lenses used in the human eye following cataract surgery. Three hundred lenses were tumble polished using the first polishing solution, and the of this number, 253 had no polishing-induced defects. Another 300 lenses were tumble-polished using the second polishing solution, and 196 lenses were satisfactory upon completion. Use α=0.05. (a) Test the hypothesis that the two polishing solutions differ by using the p-value. (b) Test the hypothesis by using a confidence interval on p₁ - P2.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
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