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3. (10 Points) An experiment was conducted to compare the alcohol content of soy sauce on two different production lines. Production was monitored eight times a day. The data are shown

here. Production line 1: 0.48 0.39 0.42 0.52 0.40 0.48 0.52 0.52 Production line 2: 0.38 0.37 0.39 0.41 0.38 0.39 0.40 0.39 Assume both populations are normal. It is suspected that production line 1 is not producing as consistently as production line 2 in terms of alcohol content. Test the hypothesis that σ₁ = σ2 against the alternative that σ1 02. Use a P-value. [P(F7,7 > 20.625) ≈ 0.00036]

Fig: 1