(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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 4E
icon
Related questions
Question
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?
Expert Solution
steps

Step by step

Solved in 4 steps with 12 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill