Final answer:
The question involves mathematical statistical analysis of cruise ship sanitation scores with a mean of 94.4, standard deviation of 63.2, and 97% of ships scoring within the interval of 83.8 to 100 on a 100-point scale.
Step-by-step explanation:
The question asks for an analysis of sanitation scores for cruise ships based on provided statistical data. Specifically, it details the mean sanitation score (\( \bar{x} = 94.4 \)) and standard deviation (s = 63.2) for a sample of n = 186 ships. Based on this information, the question also provides a confidence interval, calculated using the formula \( \bar{x} \pm 2s \), which results in the interval (83.8, 100). Additionally, we can see that the percentage of ships scoring within this interval is 97%, indicating that a large majority of ships have a high sanitation score according to the Centers for Disease Control and Prevention (CDC) standards.