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A Small, Independent Amusement Park Collects Data on the Number

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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=100 each day. Data from the previous 10 days indicate the following number of out-of-state license plates:
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=100 each day. Data from the previous 10 days indicate the following number of out-of-state license plates:    (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. (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.


Definitions:

Fixed Cost

Costs that do not change with the level of production or output, such as rent, salaries, and loan payments.

Variable Costs

Costs that change in proportion to the level of output or activity in a business.

Snow-clearing

The process of removing snow from surfaces like roads and walkways to ensure safe passage and transportation.

Perfectly Competitive

A market structure characterized by a large number of small firms, identical products, and free entry and exit, leading to price-taking behavior.

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