A medical researcher working in a hospital wants to know if there is any variation in the way two labs in the hospital measure and report HDL. They conducted a test and asked both labs to measure HDL for 60 patients at the same time. The first lab got a sample standard deviation of 5.73 and the second lab got a sample standard deviation of 5.66. They want to test if the first lab has a lower variance than the second lab. (a) What is the null hypothesis and its alternative? (b) What is your conclusion for this hypothesis test? Show proof. (c) Construct a 99% confidence interval for the ratio of variance for this problem.
A medical researcher working in a hospital wants to know if there is any variation in the way two labs in the hospital measure and report HDL. They conducted a test and asked both labs to measure HDL for 60 patients at the same time. The first lab got a sample standard deviation of 5.73 and the second lab got a sample standard deviation of 5.66. They want to test if the first lab has a lower variance than the second lab. (a) What is the null hypothesis and its alternative? (b) What is your conclusion for this hypothesis test? Show proof. (c) Construct a 99% confidence interval for the ratio of variance for this problem.
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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Solve by hand. Do not use any external softwares or programs including Excel.
Transcribed Image Text:A medical researcher working in a hospital wants to know if there is any
variation in the way two labs in the hospital measure and report HDL. They conducted a
test and asked both labs to measure HDL for 60 patients at the same time. The first lab got a
sample standard deviation of 5.73 and the second lab got a sample standard deviation of
5.66. They want to test if the first lab has a lower variance than the second lab.
(a) What is the null hypothesis and its alternative?
(b) What is your conclusion for this hypothesis test? Show proof.
(c) Construct a 99% confidence interval for the ratio of variance for this problem.
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