A Small,independent Amusement Park Collects Data on the Number of Cars

question 127

Essay

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:
(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.

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Definitions:

Variable Costs

Costs that change in proportion to the level of production or sales volume.

Operating Income

Earnings before interest and taxes, representing a company's profit from its core business operations.

Direct Materials Quantity Variance

The difference between the actual quantity of materials used in production and the expected amount, multiplied by the standard cost per unit.

Data Collected

Information gathered for analysis or used to make decisions, often through observations, experiments, or measurements.