Solution Found!
A company that manufactures brackets for an automaker
Chapter 8, Problem 8E(choose chapter or problem)
A company that manufactures brackets for an automaker regularly selects brackets from the production line and performs a torque test. The goal is for mean torque to equal 125. Let \(X\) equal the torque and assume that \(X\) is \(N\left(\mu, \sigma^{2}\right)\). We shall use a sample of size \(n=15\) to test \(H_{0}: \mu=125\) against a two-sided alternative hypothesis.
(a) Give the test statistic and a critical region with significance level \(\alpha=0.05\). Sketch a figure illustrating the critical region.
(b) Use the following observations to calculate the value of the test statistic and state your conclusion:
Equation Transcription:
Text Transcription:
X
N(mu,sigma^2)
n=15
H_0:mu=125
sigma=0.05
Questions & Answers
QUESTION:
A company that manufactures brackets for an automaker regularly selects brackets from the production line and performs a torque test. The goal is for mean torque to equal 125. Let \(X\) equal the torque and assume that \(X\) is \(N\left(\mu, \sigma^{2}\right)\). We shall use a sample of size \(n=15\) to test \(H_{0}: \mu=125\) against a two-sided alternative hypothesis.
(a) Give the test statistic and a critical region with significance level \(\alpha=0.05\). Sketch a figure illustrating the critical region.
(b) Use the following observations to calculate the value of the test statistic and state your conclusion:
Equation Transcription:
Text Transcription:
X
N(mu,sigma^2)
n=15
H_0:mu=125
sigma=0.05
ANSWER:Step1 of 3
Given data
Mean torque:
Number of samples:
Null hypothesis:
Alternative hypothesis:
