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 a=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 - ₂.
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 a=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 - ₂.
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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please do the 2nd question
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.
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