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(a) Construct a two-sided 100(1 — a)% confidence interval for the difference µx − µy. (b) We want to obtain a 90% confidence interval for the difference between true average cable strengths made by Company X and by Company Y. Suppose cable strength is normally distributed for both types of cables with ox = 70 and oy = 50. If we can make n+m= 6000 observations, how many of these should be on Company X cable if we want to minimize the width of the interval?

(a) Construct a two-sided 100(1 — a)% confidence interval for the difference µx − µy. (b) We want to obtain a 90% confidence interval for the difference between true average cable strengths made by Company X and by Company Y. Suppose cable strength is normally distributed for both types of cables with ox = 70 and oy = 50. If we can make n+m= 6000 observations, how many of these should be on Company X cable if we want to minimize the width of the interval?

MATLAB: An Introduction with Applications
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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i.i.d. 2. Let X₁,..., X d. N(µx,0²), Y₁,...,Ym ¹.i.d. N(µy, o?) and they are independent. Suppose that both o and o are known. (a) Construct a two-sided 100(1 − a)% confidence interval for the difference µx - µy. (b) We want to obtain a 90% confidence interval for the difference between true average cable strengths made by Company X and by Company Y. Suppose cable strength is normally distributed for both types of cables with ox = 70 and oy = 50. If we can make n+m = 6000 observations, how many of these should be on Company X cable if we want to minimize the width of the interval?
Transcribed Image Text:i.i.d. 2. Let X₁,..., X d. N(µx,0²), Y₁,...,Ym ¹.i.d. N(µy, o?) and they are independent. Suppose that both o and o are known. (a) Construct a two-sided 100(1 − a)% confidence interval for the difference µx - µy. (b) We want to obtain a 90% confidence interval for the difference between true average cable strengths made by Company X and by Company Y. Suppose cable strength is normally distributed for both types of cables with ox = 70 and oy = 50. If we can make n+m = 6000 observations, how many of these should be on Company X cable if we want to minimize the width of the interval?
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