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Precision valves for controlling the flow of fluids and liquids can be assembled in a clean room or on a less-clean production line. The cleanliness of the assembly process can affect the leak rate. Twenty valve assemblies were made on the production line and another twenty were made in the clean room. The same component lots were used for all forty assemblies. a. There were three leakers from the production line versus zero leakers from the clean room. Is there sufficient evidence to conclude that the leak rate on the production line is worse than the leak rate in the clean room? b. What's the smallest number of defectives that would have to be found on the production line with no defectives found in the clean room to conclude that the production line leaker rate is worse that in the clean room?

Precision valves for controlling the flow of fluids and liquids can be assembled in a clean room or on a less-clean production line. The cleanliness of the assembly process can affect the leak rate. Twenty valve assemblies were made on the production line and another twenty were made in the clean room. The same component lots were used for all forty assemblies. a. There were three leakers from the production line versus zero leakers from the clean room. Is there sufficient evidence to conclude that the leak rate on the production line is worse than the leak rate in the clean room? b. What's the smallest number of defectives that would have to be found on the production line with no defectives found in the clean room to conclude that the production line leaker rate is worse that in the clean room?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 81E
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Answer- (A) p = 0.115 (B) 5
Precision valves for controlling the flow of fluids and liquids can be assembled in a clean room or on a less-clean production line. The cleanliness of the assembly process can affect the leak rate. Twenty valve assemblies were made on the production line and another twenty were made in the clean room. The same component lots were used for all forty assemblies. a. There were three leakers from the production line versus zero leakers from the clean room. Is there sufficient evidence to conclude that the leak rate on the production line is worse than the leak rate in the clean room? b. What's the smallest number of defectives that would have to be found on the production line with no defectives found in the clean room to conclude that the production line leaker rate is worse that in the clean room?
Transcribed Image Text:Precision valves for controlling the flow of fluids and liquids can be assembled in a clean room or on a less-clean production line. The cleanliness of the assembly process can affect the leak rate. Twenty valve assemblies were made on the production line and another twenty were made in the clean room. The same component lots were used for all forty assemblies. a. There were three leakers from the production line versus zero leakers from the clean room. Is there sufficient evidence to conclude that the leak rate on the production line is worse than the leak rate in the clean room? b. What's the smallest number of defectives that would have to be found on the production line with no defectives found in the clean room to conclude that the production line leaker rate is worse that in the clean room?
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