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Three Flags, a Small Independent Water Park, Collects Data on the Number

Question 98

Essay

Three Flags, a small independent water park, collects data on the number of cars with out-of-state license plates. The parking lot size is 100 cars, and it is full every day. Data from the previous 10 days indicate the following number of out-of-state license plates:

 Day  Out-of-State  Plates 1242163204285326127168209121044\begin{array} { | c | c | } \hline \text { Day } & \begin{array} { c } \text { Out-of-State } \\\text { Plates }\end{array} \\\hline 1 & 24 \\\hline 2 & 16 \\\hline 3 & 20 \\\hline 4 & 28 \\\hline 5 & 32 \\\hline 6 & 12 \\\hline 7 & 16 \\\hline 8 & 20 \\\hline 9 & 12 \\\hline 10 & 44 \\\hline\end{array}

A) Calculate the overall proportion of visitors (cars with out-of-state plates) and the standard deviation of proportions.
B) Using ± 3-sigma limits, calculate the LCL and UCL for these data.
C) What can you say about the process?

Correct Answer:

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