Specifications for the density of dustless chalk used in classrooms is 3.5 1.5. (The unit...

   

Transcribed Image Text:

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. Frequency 14 12 10 8 (O 4 2 0 1.5 1.7 1.9 2.1 2.3 2.5 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 4.7 4.9 5.1 5.3 5.5 Density 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? 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. Frequency 14 12 10 8 (O 4 2 0 1.5 1.7 1.9 2.1 2.3 2.5 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 4.5 4.7 4.9 5.1 5.3 5.5 Density 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?

Answer rating: 100% (QA)

USL 35 15 50 LSL 35 15 20 a Sample mean x 36 Sampl... View the full answer