A company produces machined engine parts that are supposed to have a diameter variance no larger than .0002 (diameters measured in inches). A random sample of n = 10 parts gave a sample variance of s² = .0003. Find the p-value of for the test: Ho: ².0002 vs. H₁:²>.0002 Using the computed p-value, what can you conclude about the outcome of a level a = 0.05 hypothesis test?

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A company produces machined engine parts that are supposed to have a diameter variance no larger than 0.0002 (diameters measured in inches). A random sample of \( n = 10 \) parts gave a sample variance of \( s^2 = 0.0003 \). Find the \( p \)-value for the test:

\[
H_0: \sigma^2 = 0.0002 \quad \text{vs.} \quad H_a: \sigma^2 > 0.0002
\]

Using the computed \( p \)-value, what can you conclude about the outcome of a level \( \alpha = 0.05 \) hypothesis test?
Transcribed Image Text:A company produces machined engine parts that are supposed to have a diameter variance no larger than 0.0002 (diameters measured in inches). A random sample of \( n = 10 \) parts gave a sample variance of \( s^2 = 0.0003 \). Find the \( p \)-value for the test: \[ H_0: \sigma^2 = 0.0002 \quad \text{vs.} \quad H_a: \sigma^2 > 0.0002 \] Using the computed \( p \)-value, what can you conclude about the outcome of a level \( \alpha = 0.05 \) hypothesis test?
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