5.0, 3.4, 3.9, 1.3, 0.2, 0.9, 2.7, 3.7, 3.8, 4.1, Assume the true distribution is normal with mean Assume samples are independent. 1. Consider the hypothesis Ho: μ = 4 versus H₁ 2. Consider the hypothesis Hoμ = 4 versus H₁ 1.0, 1.0, 0.8, 0.4, 3.8, 4.5, 5.3, 6.1, 6.9, 6.5. and standard deviation 0.5 (in milligrams per liter). μ‡ 4. Determine the P-value. μ> 4. Determine the P-value.

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An article in the ASCE Journal of Energy Engineering [“Overview of Reservoir Release Improvements at 20 TVA Dams” (Vol. 125, April 1999, pp. 1–17)] presents data on dissolved oxygen concentrations in streams below 20 dams in the Tennessee Valley Authority system. The observations are (in milligrams per liter):

 

5.0, 3.4, 3.9, 1.3, 0.2, 0.9, 2.7, 3.7, 3.8, 4.1, 1.0, 1.0, 0.8, 0.4, 3.8, 4.5, 5.3, 6.1, 6.9, 6.5.
Assume the true distribution is normal with mean µ and standard deviation 0.5 (in milligrams per liter).
Assume samples are independent.
1. Consider the hypothesis Ho : μ = 4 versus H₁ μ‡4. Determine the P-value.
2. Consider the hypothesis Ho : μ = 4 versus H₁ : µ > 4. Determine the P-value.
Transcribed Image Text:5.0, 3.4, 3.9, 1.3, 0.2, 0.9, 2.7, 3.7, 3.8, 4.1, 1.0, 1.0, 0.8, 0.4, 3.8, 4.5, 5.3, 6.1, 6.9, 6.5. Assume the true distribution is normal with mean µ and standard deviation 0.5 (in milligrams per liter). Assume samples are independent. 1. Consider the hypothesis Ho : μ = 4 versus H₁ μ‡4. Determine the P-value. 2. Consider the hypothesis Ho : μ = 4 versus H₁ : µ > 4. Determine the P-value.
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