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Question
A small, independent amusement park collects data on the number of cars with out-of-state license plates. The sample size is fixed at n=25 each day. Data from the previous 10 days indicate the following number of out-of-state license plates:
| Day | Out-of-state Plates |
| 1 | 6 |
| 2 | 4 |
| 3 | 5 |
| 4 | 7 |
| 5 | 8 |
| 6 | 3 |
| 7 | 4 |
| 8 | 5 |
| 9 | 3 |
| 10 | 11 |
(a) Calculate the overall proportion of "tourists" (cars with out-of-state plates) and the standard deviation of proportions.
(b) Using 3σ limits, calculate the LCL and UCL for these data.
(c) Is the process under control? Explain.
Answer
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