Consider the following to answer the question(s) below:
A company that fills 12 ounce soft drink bottles wishes to monitor the quality of their process. To do this, the company has taken a series of samples of 4 bottles. The overall average fill is 12.03 ounces. The average range for the samples has been 0.06 ounces.
-What is the correct estimate of σ?
A) 0.029
B) 0.01
C) 0.02
D) 2.059
E) 3.99

Question

Quizplus · Accepted Answer

The correct estimate of σ (standard deviation) is calculated using the formula σ = R̄/d2, where R̄ is the average range and d2 is a constant based on sample size. For a sample size of 4, d2 is approximately 2.326. Thus, σ = 0.06 / 2.326 ≈ 0.029.

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