Find a number b such that P [(S1^2/S2^2)<=b]=0.95 enter such a b to three decimal places b= 2. Consider the number b calculated above, find a number a such that P[a<=(S1^2/S2^2)<=b]=0.90 enter said a to three decimal places. a=

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter23: Basic Calculations Of Percentages, Percents, And Rates
Section: Chapter Questions
Problem 1A: Express 5.037 as a percent.
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Let S1^2 be the sampling variance for a random sample of twelve values (amount of mercury in the blood) and let S2^2 be the sampling variance for a random sample of ten values (amount of lead in the blood); samples from the same population were used.

The population variance for mercury measurements is assumed to be twice the corresponding population variance for lead measurements. We will further assume that S1^2 is independent of S2^2.

1. Find a number b such that

P [(S1^2/S2^2)<=b]=0.95 enter such a b to three decimal places

b=


2. Consider the number b calculated above, find a number a such that

P[a<=(S1^2/S2^2)<=b]=0.90 enter said a to three decimal places.

a=

s²1
P
b=0.95,
2
Transcribed Image Text:s²1 P b=0.95, 2
plasso =0.90
s?2
Transcribed Image Text:plasso =0.90 s?2
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