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A consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. Tube type A has mean brightness of 100 and standard deviation of 16, and tube type B has unknown mean brightness, but the standard deviation is assumed to be identical to that for type A. A random sample of n= 25 tubes of each type is selected, and X , – X , is computed. If Hz equals or exceeds µ„, the manufacturer would like to adopt type B for use. The observed difference is , -I, =3.0. a. What is the probability that X, exceeds X, by 3.0 or more if u, and u, are equal? b. Is there strong evidence that u, is greater than u,?

A consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. Tube type A has mean brightness of 100 and standard deviation of 16, and tube type B has unknown mean brightness, but the standard deviation is assumed to be identical to that for type A. A random sample of n= 25 tubes of each type is selected, and X , – X , is computed. If Hz equals or exceeds µ„, the manufacturer would like to adopt type B for use. The observed difference is , -I, =3.0. a. What is the probability that X, exceeds X, by 3.0 or more if u, and u, are equal? b. Is there strong evidence that u, is greater than u,?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem 3. A consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. Tube type A has mean brightness of 100 and standard deviation of 16, and tube type B has unknown mean brightness, but the standard deviation is assumed to be identical to that for type A. A random sample of n= 25 tubes of each type is selected, and X- X, is computed. If Hz equals or exceeds 4, the manufacturer would like to adopt type B for use. The observed difference is I, -I, = 3.0. a. What is the probability that X, exceeds X, by 3.0 or more if µ, and 4, are equal? b. Is there strong evidence that u, is greater than u,?
Transcribed Image Text:Problem 3. A consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. Tube type A has mean brightness of 100 and standard deviation of 16, and tube type B has unknown mean brightness, but the standard deviation is assumed to be identical to that for type A. A random sample of n= 25 tubes of each type is selected, and X- X, is computed. If Hz equals or exceeds 4, the manufacturer would like to adopt type B for use. The observed difference is I, -I, = 3.0. a. What is the probability that X, exceeds X, by 3.0 or more if µ, and 4, are equal? b. Is there strong evidence that u, is greater than u,?
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