Sanitation inspection of cruise ships. Refer to Exercise and the Centers for Disease Control and Prevention listing of the sanitation scores for 186 cruise ships. The data are saved in the SHIPSANIT file.
a. Find the mean and standard deviation of the sanitation scores.
b. Calculate the intervals , , and .
c. Find the percentage of measurements in the data set that fall within each of the intervals in part b . Do these percentages agree with either Chebyshev’s rule or the empirical rule?
Sanitation inspection of cruise ships. To minimize the potential for gastrointestinal disease outbreaks, all passenger cruise ships arriving at U.S. ports are subject to unannounced sanitation inspections. Ships are rated on a 100-point scale by the Centers for Disease Control and Prevention. A score of 86 or higher indicates that the ship is providing an accepted standard of sanitation. The latest (as of Jan. 2010) sanitation scores for 186 cruise ships are saved in the SHIPSANIT file. The first five and last five observations in the data set are listed in the following table:
Ship Name | Sanitation Score |
Adventure of the Seas | 98 |
AID Aaura | 100 |
Albatross | 69 |
Amadea | 84 |
Amsterdam | 99 |
⋮ | ⋮ |
Westerdam | 99 |
Wind Spirit | 97 |
Wind Surf | 95 |
Zaandam | 99 |
Zuiderdam | 95 |
Based on National Center for Environmental Health, Centers for Disease Control and Prevention, Jan. 6, 2010.
a. Generate a stem-and-leaf display of the data. Identify the stems and leaves of the graph.
b. Use the stem-and-leaf display to estimate the proportion of ships that have an accepted sanitation standard.
c. Locate the inspection score of 69 (Albatrass) on the stem-and-leaf display.
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