In 1912, the Titanic sank on its inaugural journey from England to New York City. Due to a lack of lifeboats, the majority of the 1,309 passengers died on board. Second and third class passengers had a lower chance of surviving because first class passengers occupied the majority of the lifeboats' seats.

There were additional distinctions between the three classes in addition to the survival rate. For instance, the third class had fewer women than the first (previous data retrieved from https://www.sheffield.ac.uk/mash/statistics/datasets). Here's another noteworthy variation: The passengers' ages (in years), as displayed 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. A male British passenger named August Andersson survived the sinking while traveling in third class. At the time, August Andersson was 27 years old. What proportion of travelers in third class were August Andersson's age or younger? Mark each step, present your entire project, and describe how you arrived at your solution.

2. Two second-class passengers who did not survive were Reverend William Lahtinen and Mrs. Anna Lahtinen. Anna Lahtinen was 26 years old, and William Lahtinen was 30. What proportion of passengers in second class are in the age range of William and Anna? Mark each step, present your entire project, and describe how you arrived at your solution.

3. You find out through looking through historical records that there were 947 other people on the ship besides the passengers: the crew. You also find out that, on average, the crew members were fairly young. When compared to third class passengers, the crew's average age was at the 40th percentile when taken as a whole, not as individuals. What age was the crew average? Note: We are aware of only the average for the group, not the ages of specific individuals. Which distribution is best to use? Which Z are you looking for?) Once more, kindly label every step, display your entire project, and describe how you arrived at your solution.

4. You find a footnote stating that 35 members of a tennis club were also on the Titanic while searching through historical archives. The average age of the tennis players is explained in the footnote, although it is unclear if they traveled in first, second, or third class. Based on their average age, you have a suspicion that the tennis club members were not first class passengers. Determine whether the average age of the tennis players differed from the average age of the first-class passengers by using the six steps of hypothesis testing to test this theory. As we did in class, please label and write out each step