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SCENARIO 10-12
a Quality Control Engineer Is in Charge of the Manufacture

question 204

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SCENARIO 10-12
A quality control engineer is in charge of the manufacture of USB flash drives.Two different processes can be used to manufacture the flash drives.He suspects that the Kohler method produces a greater proportion of defects than the Russell method.He samples 150 of the Kohler and 200 of the Russell flash drives and finds that 27 and 18 of them, respectively, are defective.If Kohler is designated as "Group 1" and Russell is designated as "Group 2," perform the appropriate test at a level of significance of 0.01.
-Referring to Scenario 10-12, the hypotheses that should be tested are: a) H0:π1π2=0H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } = 0 versus H1:π1π20H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } \neq 0
b) H0:π1π20H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \neq 0 versus H1:π1π2=0H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } = 0
c) H0:π1π20H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \leq 0 versus H1:π1π2>0H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } > 0
d) H0:π1π20H _ { 0 } : \pi _ { 1 } - \pi _ { 2 } \geq 0 versus H1:π1π2<0H _ { 1 } : \pi _ { 1 } - \pi _ { 2 } < 0

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Definitions:

Fat Distribution

The pattern and location of fat deposits on an individual's body, affecting health risks differently depending on whether it's centralized or distributed.

Increased Mortality

A rise in the number of deaths, often within a specific population or due to a particular cause.

Overweight

A condition characterized by having more body fat than is optimally healthy, often measured by body mass index (BMI).

Set-Point

The theory that each individual has a genetically determined range of weight and temperature that their body will try to maintain to stay at optimal health.

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