The ship Titanic sank in 1912 during its maiden voyage from England to New York City. Most of the 1,309 passengers perished because there weren't enough lifeboats on board. Most of the seats on the lifeboats went to the first class passengers which means passengers in the second and third class were less likely to survive.

Besides the survival rate, there were other differences between the three classes. For example, there were fewer women in the third class compared to the first class (data previous retrieved fromhttps://www.sheffield.ac.uk/mash/statistics/datasets). Here is another notable difference: Theage of passengers (in years), which are shown in the table below. For this data set, assume the passengers in each class represent the population, which is why the columns include and.

Class	(in years)
First class	39.16	14.55
Second class	29.51	13.64
Third class	24.82	11.96

1. 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 as individuals), the crew's average age was at 40^th percentile compared tothird class passengers. What was the crew's average age? (Note: All we know is information about the group's average, not individual ages. Which distribution should you use? Whichz should you find?) Again, please label each step, show all work, and explain how you obtained your answer.

2. While going through historical archives, you come across a footnote that 35 members of a tennis club were also on the Titanic. The footnote explains that the tennis players were 34.12 years old on average but does not indicate whether they were passengers in the first, second, or third class. You have a hunch the tennis club members werenotfirst class passengers based on their average age. To test this idea, use the 6 steps of hypothesis testing todetermine if the average age of the tennis players was different from the average age of the first class passengers. Please label and write out each step