A Small, Independent Amusement Park Collects Data on the Number

question 82

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:
$$\begin{array} { | c | c | } \hline \text { Day } & \begin{array} { c } \text { Out-of-state } \\\text { Plates }\end{array} \\\hline 1 & 6 \\\hline 2 & 4 \\\hline 3 & 5 \\\hline 4 & 7 \\\hline 5 & 8 \\\hline 6 & 3 \\\hline 7 & 4 \\\hline 8 & 5 \\\hline 9 & 3 \\\hline 10 & 11 \\\hline\end{array}$$ (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:

Antimicrobial Catheters

Catheters treated or coated with substances that inhibit the growth of microorganisms to reduce the risk of infection.

Silver or Antibiotics

Agents used in medical treatment - silver for its antimicrobial properties in dressings and antibiotics for fighting bacterial infections.

Indwelling Catheter

A catheter that remains inside the body for a prolonged period to drain urine from the bladder, commonly known as a Foley catheter.

Meatal Necrosis

Tissue death around the urinary opening, often due to irritation or lack of blood flow.