An Important Part of Any Dispensing Process Is Statistical Quality

Question

Examlex · Accepted Answer

The Answer is 1)μ = true mean volume of soda dispensed (ml)2)H₀ : μ = 600
3)H_a : μ ≠ 600
4)α = .05
5)

1)μ = true mean volume of soda dispensed (ml)2)H<sub>0</sub> : μ = 600 3)H<sub>a</sub> : μ ≠ 600 4)α = .05 5) 6)Random sample? Given in the problem. Normal population? Based on the sample, this seems reasonable. 7) df = 7 8)P-value = P(t < −.53) = .6102 9)Since the P-value > α, we fail to reject H<sub>0</sub>. We cannot conclude that the true mean volume of soda dispensed is different than 600 ml. That is, the sample does not give sufficient evidence that the machine needs adjustment.

6)Random sample? Given in the problem.
Normal population? Based on the sample, this seems reasonable.

7)

df = 7
8)P-value = P(t < −.53) = .6102
9)Since the P-value > α, we fail to reject H₀. We cannot conclude that the true mean volume of soda dispensed is different than 600 ml. That is, the sample does not give sufficient evidence that the machine needs adjustment.

An Important Part of Any Dispensing Process Is Statistical Quality

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