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 Xpar B – XbarA is computed. If ug equals or exceeds uA, the manufacturer would like to adopt type B for use. The observed difference is xhar B - Ibar A = 3.5. What decision would you make, and why?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 Xpar B – XbarA is computed. If ug equals or
exceeds uA, the manufacturer would like to adopt type B for use. The
observed difference is xhar B - Ibar A = 3.5. What decision would you
make, and why?
Transcribed Image Text: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 Xpar B – XbarA is computed. If ug equals or exceeds uA, the manufacturer would like to adopt type B for use. The observed difference is xhar B - Ibar A = 3.5. What decision would you make, and why?
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