ASQ Certified Six Sigma Black Belt (CSSBB) — Question 12

A Belt working in a supply chain environment has to make a decision to change suppliers of critical raw materials for a new product upgrade. The purchasing manager is depending on the Belts effort requiring that the average cost of an internal critical raw material component be less than or equal to $2,800 in order to stay within budget. Using a sample of 55 first article components, a Mean of the new product upgrade price of $2,240 and a Standard Deviation of $120 was estimated. Based on the data provided, the Z value for the data assuming a Normal Distribution is?

Answer options

• A. 2.33
• B. 4.67
• C. 6.48
• D. 8.28

Correct answer: B

Explanation

To calculate the Z value, use the formula Z = (X - μ) / (σ/√n), where X is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size. Plugging in the values: Z = (2240 - 2800) / (120/√55) results in a Z value of 4.67, making option B the correct answer. The other options represent incorrect calculations or assumptions based on the provided data.