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A consumer electronics company is comparing the brightness
Chapter 7, Problem 14E(choose chapter or problem)
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 \(\bar{X}_{B}-\bar{X}_{A}\) is computed. If \(\mu_{\mathrm{B}}\) equals or exceeds \(\mu_{\mathrm{A}}\), the manufacturer would like to adopt type B for use. The observed difference is \(\bar{x}_{B}-\bar{x}_{A}=3.5\). What decision would you make, and why?
Equation Transcription:
Text Transcription:
n=25
X bar_B-X bar_A
mu_B
mu_A
x bar_B-x bar_A=3.5
Questions & Answers
QUESTION:
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 \(\bar{X}_{B}-\bar{X}_{A}\) is computed. If \(\mu_{\mathrm{B}}\) equals or exceeds \(\mu_{\mathrm{A}}\), the manufacturer would like to adopt type B for use. The observed difference is \(\bar{x}_{B}-\bar{x}_{A}=3.5\). What decision would you make, and why?
Equation Transcription:
Text Transcription:
n=25
X bar_B-X bar_A
mu_B
mu_A
x bar_B-x bar_A=3.5
ANSWER:
Step 1 of 2
Given,
Tube type A
The mean,
The standard deviation,
Tube type B:
The standard deviation,
Sample sizes,
The difference in sample means,
