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Q5_20240319140418.jpg

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(Choose 1 answer)
(See picture)
Α. (0.125, 0.335)
Β. (0.144, 0.316)
C. None of the other choices is correct
D. (0.128, 0.332)
Ε. (-0.014, 0.474)
Two machines are used to fill plastic bottles with dishwashing detergent. The fill volume can be assumed normal, with standard deviation σ₁ = 0.15 fluid ounces and σ₂ = 0.20 fluid ounces for machine 1 and machine 2, respectively. Two random samples of n = 20 bottles from machine 1 and n₂ = 25 bottles from machine 2 are selected, and the sample means are = 30.85 fluid ounces and X=30.62 fluid ounces. Construct a 95% two-sided confidence interval for the difference in mean fill volumes of two machines.
Let 0.025 1.96, 0.05 1.645, to.025.43 =2.017, 10.05.43 =1.681
I

5
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