Solution Found!
The length of life of brand X light bulbs is assumed to be
Chapter 7, Problem 1E(choose chapter or problem)
The length of life of brand \(X\) light bulbs is assumed to be \(N\left(\mu_{X}, 784\right)\). The length of life of brand \(Y\) light bulbs is assumed to be \(N\left(\mu_{Y}, 627\right)\) and independent of \(X\). If a random sample of \(n=56\) brand \(X\) light bulbs yielded a mean of \(\bar{x}=937.4\) hours and a random sample of size \(m=57\) brand \(Y\) light bulbs yielded a mean of \(\bar{y}=988.9\) hours, find a \(90 \%\) confidence interval for \(\mu_{X}-\mu_{Y}\).
Equation Transcription:
Text Transcription:
X
N(mu_X,784)
Y
N(mu_Y,627)
n=56
Bar x=937.4
m=57
bar y=988.9
90%
mu_X-mu_Y
Questions & Answers
QUESTION:
The length of life of brand \(X\) light bulbs is assumed to be \(N\left(\mu_{X}, 784\right)\). The length of life of brand \(Y\) light bulbs is assumed to be \(N\left(\mu_{Y}, 627\right)\) and independent of \(X\). If a random sample of \(n=56\) brand \(X\) light bulbs yielded a mean of \(\bar{x}=937.4\) hours and a random sample of size \(m=57\) brand \(Y\) light bulbs yielded a mean of \(\bar{y}=988.9\) hours, find a \(90 \%\) confidence interval for \(\mu_{X}-\mu_{Y}\).
Equation Transcription:
Text Transcription:
X
N(mu_X,784)
Y
N(mu_Y,627)
n=56
Bar x=937.4
m=57
bar y=988.9
90%
mu_X-mu_Y
ANSWER:
Step 1 of 2
Given that,
The length of life of brand X light bulbs is assumed to be N(
A random sample of n = 56 brand X light bulbs yielded a mean of 
