Case Study: Statistical Inference Overview The research department of an appliance manufacturing firm has developed a new bimetallic thermal sensor for its toaster. The new bimetallic thermal sensor...

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Answered Same DayAug 31, 2022

Answer To: Case Study: Statistical Inference Overview The research department of an appliance manufacturing...

Monica answered on Sep 01 2022
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Project : Test of Hypothesis for two independent sample proportions.
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1
Overview
A new bimetallic heat sensor has
been created by the research division of an appliance manufacturing company for their toaster. The lever arm can be moved to activate the switch via the new bimetallic thermal sensor by sensing the bread's temperature. According to the research division, the new bimetallic thermal sensor will decrease returns of appliances covered by the one-year full warranty by 2% to 6%. The testing division chooses a set of toasters made with the new bimetallic thermal sensor and a group with the old thermal sensor and puts each one through a typical year's worth of use to see if the claim can be supported. With the new bimetallic temperature sensor, 8 of the 250 toasters tested would have been sent back. Out of the 250 toasters with the previous thermal sensor, 17 would have been returned.
Statistical inference
It is given the number of samples size taken for each . Also, the number of toaster that were return for each sample is given.
The hypothesis test for two sample proportion is used to determine the statistical inference.
Consider level of significance
Let be the number of toaster with bimetallic sensor that are return back
Let be the number of toaster without bimetallic sensor that are return back
Let be the number of toaster sold with bimetallic sensor
Let be the number of toaster sold without bimetallic sensor
Let be the proportion of toasters...
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