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 2 Calculate the overall proportion of "tourists" (cars with out-of-state plates) and the standard deviation of proportions. Using 95% limits, calculate the LCL and UCL for these data. Is the process under control? Explain.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
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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

2

  1. Calculate the overall proportion of "tourists" (cars with out-of-state plates) and the standard deviation of proportions.
  2. Using 95% limits, calculate the LCL and UCL for these data.
  3. Is the process under control? Explain.

 

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