A manufacturer claims that the tensile strength of a certain composite (in MPa) has the
Chapter 4, Problem 10(choose chapter or problem)
A manufacturer claims that the tensile strength of a certain composite \((\text { in } M P a)\) has the lognormal distribution with \(\mu=5 \text { and } \sigma=5\). Let be the strength of a randomly sampled specimen of this composite.
a. If the claim is true, what is \(P(X<20)\) ?
b. Based on the answer to part (a), if the claim is true, would a strength of \(20 M P a\) be unusually small?
c. If you observed a tensile strength of \(20 M P a\), would this be convincing evidence that the claim is false? Explain.
d. If the claim is true, what is \(P(X<130)\)?
e. Based on the answer to part (d), if the claim is true, would a strength of \(130 M P a\) be unusually small?
f. If you observed a tensile strength of \(130 M P a\), would this be convincing evidence that the claim is false? Explain.
Equation Transcription:
Text Transcription:
(in MPa)
\mu=5 and \sigma=5
P(X<20)
20MPa
20MPa
P(X<130)
130MPa
130MPa
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