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.
Definitions:
Standard Deviation
A statistical measure of the dispersion or variability in a dataset, commonly used in finance to measure the volatility or risk associated with a particular investment.
Optimal
Referring to the most favorable or advantageous condition or level.
Optimal Risky Portfolio
A portfolio composition that offers the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
Risk-Free Rate
The rate of return on an investment with zero risk, typically represented by government bonds.
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