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:

Short-Term Memory

The capacity for holding a small amount of information in mind in an active, readily available state for a short period of time.

Anxiety

A mental health condition characterized by feelings of worry, anxiety, or fear that are strong enough to interfere with one's daily activities.

Gasping

An involuntary intake of air through the mouth, often as a reflex action due to surprise, shock, or the need for more oxygen.

Sleep Apnea

A disorder characterized by pauses in breathing or periods of shallow breathing during sleep, leading to disrupted sleep and other health complications.