A simple random sample consists of 65 lengths of piano wire that were tested for the
Chapter 6, Problem 2(choose chapter or problem)
A simple random sample consists of 65 lengths of piano wire that were tested for the amount of extension under a load of \(30 \mathrm{~N}\). The average extension for the 65 lines was \(1.102 \mathrm{~mm}\) and the standard deviation was \(0.020 \mathrm{~mm}\). Let \(\mu\) represent the mean extension for all specimens of this type of piano wire.
a. Find the P-value for testing \(H_{0}: \mu \leq 1.1 \text { versus } H_{1}: \mu>1.1\).
b. Either the mean extension for this type of wire is greater than \(1.1 \mathrm{~mm}\), or the sample is in the most extreme % of its distribution.
Equation Transcription:
Text Transcription:
30 N
1.102 mm
0.020 mm
\mu
H_{0}: \mu \leq 1.1 \text { versus } H_{1}: \mu>1.1
1.1 mm
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