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The ship Titanic sank in 1912 during its maiden voyage from England to New York City. A majority of the 1309 passengers perished in the

The ship Titanic sank in 1912 during its maiden voyage from England to New York City. A majority of the 1309 passengers perished in the sinking of the Titanic because of inadequate lifeboats. Most of the seats on the lifeboats went to the first-class passengers; passengers in the second and third class were less likely to survive.

Class
First-class 39.16 14.55
Second class 29.51 13.64
Third-class 24.82 11.96

While going through historical archives, you learn that there was an additional 947 people on the ship besides the passengers: the crew members. You also learn that the crew members were quite young on average. As a group (not individual), they were at the 40th percentile in age compared to the third class passengers. As a group, what was the crew's average age? (Hint: All we know is information about the group's average, not individual ages. Which distribution should you use? Which z should you find?) Label each step, show all work, and explain how you obtained your answer.

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