P (odd I greater than 3)
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Answer and explanation:
Please find attached answer and explanation
Answer:
Desision is to not reject the null hypothesis, this means that the variance of the second population is equal or greater than the variance of the first population.
Step-by-step explanation:
Hello!
You have the hypothesis set:
H₀: δ₁² ≤ δ₂²
H₁: δ₁² > δ₂²
α: 0.01
To study the population variance of two populations you have to work with the F-distribution. The statistic is:
F= (S₁²/S₂²)*(σ₁²/σ₂²) ~ F
This is a one tailed test, the critical value is
If the statistic value F ≥ 9.15, the decision is to reject the null hypothesis.
If the value F < 9.15, the decision is to not reject the null hypothesis.
F= (S₁²/S₂²)*(σ₁²/σ₂²) = (12/7) * 1
F= 1.714
Desision is to not reject the null hypothesis, this means that the variance of the second population is equal or greater than the variance of the first population.
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