20 samples of size 1,500 were drawn from a manufacturing process and the number of defectives in each sample was counted.The mean sample proportion was .020.The upper control limit for the p chart is:

A) 0.0200
B) 0.0236
C) 0.0199
D) 0.0308

Question

FAU-G Offical · Accepted Answer

Final Answer : D, Explanation :  The upper control limit (UCL) for a p-chart is calculated using the formula: UCL = p̄ + z * sqrt((p̄(1-p̄))/n), where p̄ is the mean sample proportion, z is the z-value for the desired confidence level (typically 3 for 99.73% confidence), and n is the sample size. Substituting the given values: UCL = 0.020 + 3 * sqrt((0.020(1-0.020))/1500) ≈ 0.0308.

20 samples of size 1,500 were drawn from a manufacturing process and the number of defectives in each sample was counted.The mean sample proportion was .020.The upper control limit for the p chart is:

A) 0.0200
B) 0.0236
C) 0.0199
D) 0.0308

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20 samples of size 1,500 were drawn from a manufacturing process and the number of defectives in each sample was counted.The mean sample proportion was .020.The upper control limit for the p chart is:A) 0.0200B) 0.0236C) 0.0199D) 0.0308

Definitions

Learning Objectives

Learning Objectives

Related questions

20 samples of size 1,500 were drawn from a manufacturing process and the number of defectives in each sample was counted.The mean sample proportion was .020.The upper control limit for the p chart is:

A) 0.0200
B) 0.0236
C) 0.0199
D) 0.0308