Before shipping lawn mowers to dealers, an inspector attempts to start each mowe

Question

Before shipping lawn mowers to dealers, an inspector attempts to start each mower and notes any that do not start on the first try. The inspector 100 mowers for 10 days. The results of his inspection are given below: Day.................Number of defective mower ---------------------------------------------------------- ...1....................2 ...2....................5 ...3....................8 ...4....................2 ...5....................1 ...6....................1 ...7....................0 ...8....................3 ...9....................5 .10....................2 ---------------------------------------------------------- Sum.................29

IMPORTANT: In this problem, keep 3 decimal places in your calculations.

Which of the following charts is appropriate to control the proportion of defective items? P Chart C Chart

Based on your choice on the last question, calculate "one" of the followings: P (for P chart), or C (for C chart)

If you chose P Chart, how much is standard deviation of p (sigma_p)? (Leave empty if you are not doing P chart)

Upper Control Limit:

Lower Control Limit:

Is the proportion of defective products in control? Yes No

Explanation / Answer

Standard deviation = sqrt(p bar*(1-pbar)/sample size) = sqrt(0.0290*(1-0.0290)/100) = 0.016781

UCL= Pbar + 2*standard deviation = 0.0290 + 2*0.16781 = 0.062561

UCL= Pbar - 2*standard deviation = 0.0290 - 2*0.16781 = -0.00456. Since it is negative it will be 0.

Process is not in control.

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