Specifications for the Density of Dustless Chalk Used in Classrooms

question 15

Essay

Specifications for the density of dustless chalk used in classrooms is 3.5 ± 1.5. (The unit of measure is grams per centimeter²,or g/cm².)A random sample of 100 pieces of chalk was selected and the density of each piece in the sample was recorded.The sample average was equal to 3.6 and the sample standard deviation was equal to 0.75.A histogram of the sample data is given below.

a.How many pieces of chalk in the sample are considered defective (not within the specifications)?
b.Using your response to the above question,what is the dpmo value for this process?
c.According to the concepts of Six-Sigma Quality,what the quality level for this process? (Use the appropriate table provided in the textbook.)

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Definitions:

Limited Resource

A scarcity of resources that restricts the ability to achieve certain objectives or satisfy needs.

Action Strategies

Plans or tactics employed to achieve specific goals or outcomes.

Qualitative Research

Research that explores and understands phenomena in-depth by collecting non-numerical data, such as interviews, observations, and words.

Recycling

The process of converting waste materials into new materials and objects, aiming to reduce raw material use, energy consumption, and environmental impact.