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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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 can sense the temperature of the bread and move the lever arm to activate the switch. The research department claims that the new bimetallic thermal sensor will reduce appliance returns under the one-year full warranty by 2%–6%. To determine if the claim can be supported, the testing department selects a group of the toasters manufactured with the new bimetallic thermal sensor and a group with the old thermal sensor and subjects them to a normal year’s worth of wear. Out of 250 toasters tested with the new bimetallic thermal sensor, 8 would have been returned. Seventeen would have been returned out of the 250 toasters with the old thermal sensor. As the manager of the appliance manufacturing process, use a statistical procedure to verify or refute the research department’s claim.


Instructions


Create 8–10 slides, including a cover and a sources list, for a presentation to the director of the manufacturing plant in which you:



  1. Summarize the problem with the appliance manufacturing firm's toaster.

  2. Propose the statistical inference to use to solve the problem. Support your decision using a scholarly reference.

  3. Using Excel:


    • Develop a flowchart for the proposed statistical inference, including specific steps.

    • Compute all statistical calculations.


  4. Place your flowchart in a slide.

  5. Determine if you can verify or refute the research department's claim.

  6. Choose sources that are credible, relevant, and appropriate. Cite each source listed on your source page at least one time within your assignment.


  7. The specific course learning outcome associated with this assignment is:



    • Develop recommendations to improve business processes using statistical tools and analysis.



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
69 Votes
PowerPoint Presentation
Name :
Project : Test of Hypothesis for two independent sample proportions.
.
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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